Enrique Zuazua | Academic Influence

Enrique Zuazua's AcademicInfluence.com Rankings

Enrique Zuazua

Mathematics

#2851

World Rank

#4316

Historical Rank

Control Theory

#20

World Rank

#21

Historical Rank

Measure Theory

#769

World Rank

#1028

Historical Rank

mathematics Degrees

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Mathematics

Enrique Zuazua's Degrees

PhD Mathematics University of the Basque Country

Why Is Enrique Zuazua Influential?

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According to Wikipedia, Enrique Zuazua is the Head of the Chair for Dynamics, Control, Machine Learning and Numerics - FAU DCN-AvH at the University of Erlangen–Nuremberg . He is also Distinguished Research Professor and the Director of the Chair of Computational Mathematics of DeustoTech Research Center of the University of Deusto in Bilbao, Basque Country, Spain and Professor of Applied Mathematics at Universidad Autónoma de Madrid .

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Enrique Zuazua's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping (1990) (439)
A direct method for boundary stabilization of the wave equation (1990) (398)
Null and approximate controllability for weakly blowing up semilinear heat equations (2000) (368)
Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods (2005) (314)
The cost of approximate controllability for heat equations: the linear case (2000) (297)
Controllability and Observability of Partial Differential Equations: Some Results and Open Problems (2007) (286)
Decay estimates for some semilinear damped hyperbolic problems (1988) (231)
Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures (Mathématiques et Applications) (2005) (229)
Exact controllability for semilinear wave equations in one space dimension (1993) (212)
Null‐Controllability of a System of Linear Thermoelasticity (1998) (204)
The rate at which energy decays in a damped String (1994) (196)
The turnpike property in finite-dimensional nonlinear optimal control (2014) (177)
Exponential decay for the semilinear wave equation with localized damping (1990) (171)
Exact controllability for the semilinear wave equation (1990) (168)
On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials (2008) (164)
On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient (2002) (160)
The rate at which energy decays in a string damped at one end (1995) (154)
Boundary obeservability for the space semi-discretization for the 1-d wave equation (1999) (154)
Modelling and Optimisation of Flows on Networks (2013) (154)
Decay Rates for the Three‐Dimensional Linear System of Thermoelasticity (1999) (153)
Stabilization of the Korteweg-De Vries equation with localized damping (2002) (142)
Stabilization and control for the subcritical semilinear wave equation (2003) (116)
Exact Controllability and Stabilization of a Vibrating String with an Interior Point Mass (1995) (115)
Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity (2003) (112)
Long Time versus Steady State Optimal Control (2013) (112)
Large Time Asymptotics for Partially Dissipative Hyperbolic Systems (2011) (112)
Boundary observability for the finite-difference space semi-discretizations of the 2-d wave equation in the square (1999) (112)
CONTROLLABILITY OF PARTIAL DIFFERENTIAL EQUATIONS AND ITS SEMI-DISCRETE APPROXIMATIONS (2002) (106)
Long-Time Behavior of a Coupled Heat-Wave System Arising in Fluid-Structure Interaction (2007) (105)
DECAY OF SOLUTIONS OF THE SYSTEM OF THERMOELASTICITY OF TYPE III (2003) (105)
Finite dimensional null controllability for the semilinear heat equation (1997) (104)
Continuous adjoint approach for the Spalart−Allmaras model in aerodynamic optimization (2012) (100)
Polynomial decay and control of a 1−d hyperbolic–parabolic coupled system (2004) (98)
Systematic Continuous Adjoint Approach to Viscous Aerodynamic Design on Unstructured Grids (2007) (96)
Uniform boundary stabilization of the finite difference space discretization of the 1−d wave equation (2007) (95)
On the lack of null-controllability of the heat equation on the half-line (2000) (94)
Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations (2000) (93)
Polynomial decay for a hyperbolic–parabolic coupled system (2005) (92)
Local Elliptic Regularity for the Dirichlet Fractional Laplacian (2017) (83)
Stabilization of the Wave Equation on 1-d Networks (2009) (82)
Boundary observability for the space-discretizations of the 1 — d wave equation (1998) (79)
Decay Rates for Dissipative Wave equations (1999) (78)
Stability Results for the Wave Equation with Indefinite Damping (1996) (76)
A SYSTEMATIC METHOD FOR BUILDING SMOOTH CONTROLS FOR SMOOTH DATA (2010) (76)
Uniform boundary controllability of a discrete 1-D wave equation (2003) (74)
Convergence of a multigrid method for the controllability of a 1-d wave equation (2004) (74)
Null controllability for the heat equation with singular inverse-square potentials (2008) (74)
Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent (1993) (73)
Boundary controllability of the finite-difference space semi-discretizations of the beam equation (2002) (73)
Large Time Behavior for a Simplified 1D Model of Fluid–Solid Interaction (2003) (70)
Uniformly exponentially stable approximations for a class of damped systems (2009) (70)
An Introduction to the Controllability of Partial Differential Equations (2004) (70)
Averaged control (2014) (70)
Numerical approximation of null controls for the heat equation: Ill-posedness and remedies (2010) (69)
Stabilization of the Schrödinger equation. (1994) (68)
On the Equivalence of Minimal Time and Minimal Norm Controls for Internally Controlled Heat Equations (2012) (68)
Remarks on the controllability of the Schrödinger equation (2002) (67)
Controllability of the linear system of thermoelasticity (1995) (66)
Sharp Observability Estimates for Heat Equations (2011) (66)
Optimal Shape and Location of Sensors for Parabolic Equations with Random Initial Data (2014) (66)
Approximate Controllability for the Semilinear Heat Equation Involving Gradient Terms (1999) (66)
On the Controllability of a Fractional Order Parabolic Equation (2006) (65)
AN ALTERNATING DESCENT METHOD FOR THE OPTIMAL CONTROL OF THE INVISCID BURGERS EQUATION IN THE PRESENCE OF SHOCKS (2008) (65)
The Wave Equation: Control and Numerics (2012) (65)
Boundary Controllability of a Linear Hybrid SystemArising in the Control of Noise (1997) (63)
Null controllability of a system of viscoelasticity with a moving control (2013) (63)
Numerical Dispersive Schemes for the Nonlinear Schrödinger Equation (2009) (62)
On the observability of time-discrete conservative linear systems (2008) (60)
Identification of the class of initial data for the insensitizing control of the heat equation (2008) (60)
Control and numerical approximation of the wave and heat equations (2006) (60)
SINGULAR INTERNAL STABILIZATION OF THE WAVE EQUATION (1998) (59)
The Hardy inequality and the heat equation in twisted tubes (2009) (58)
Optimal location of controllers for the one-dimensional wave equation (2013) (58)
Approximate controllability for semilinear heat equations with globally Lipschitz nonlinearities (1999) (58)
Concentration and Lack of Observability¶of Waves in Highly Heterogeneous Media (2002) (57)
Optimal Observation of the One-dimensional Wave Equation (2013) (56)
Numerical Approximation of Exact Controls for Waves (2013) (56)
Propagation, Observation, Control and Numerical Approximation of Waves (2003) (56)
Boundary Controllability of a Hybrid System Consisting in Two Flexible Beams Connected by a Point Mass (1998) (56)
Steady-State and Periodic Exponential Turnpike Property for Optimal Control Problems in Hilbert Spaces (2016) (55)
Optimal Neumann control for the 1D wave equation: Finite horizon, infinite horizon, boundary tracking terms and the turnpike property (2015) (54)
Low Frequency Asymptotic Analysis of a String with Rapidly Oscillating Density (2000) (53)
Controllability of Evolution Equations with Memory (2017) (52)
Rainfall patterns after fire differentially affect the recruitment of three Mediterranean shrubs (2011) (51)
Null Controllability in Unbounded Domains for the Semilinear Heat Equation with Nonlinearities Involving Gradient Terms (2001) (51)
Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains (2012) (49)
LACK OF COLLISION IN A SIMPLIFIED 1D MODEL FOR FLUID¿SOLID INTERACTION (2006) (48)
Averaged control and observation of parameter-depending wave equations (2014) (47)
On the lack of observability for wave equations: a Gaussian beam approach (2002) (47)
Controllability of the linear system of thermoelastic plates (1996) (47)
Some Problems and Results on the Controllability of Partial Differential Equations (1998) (47)
Sparse initial data identification for parabolic PDE and its finite element approximations (2015) (46)
Spike controls for elliptic and parabolic PDEs (2013) (46)
Weakly nonlinear large time behavior in scalar convection-diffusion equations (1993) (45)
COMPLEXITY OF LARGE TIME BEHAVIOUR OF EVOLUTION EQUATIONS WITH BOUNDED DATA (2002) (45)
Minimal controllability time for the heat equation under unilateral state or control constraints (2017) (41)
Control theory: history, mathematical achievements and perspectives (2003) (41)
Some controllability results for the 2D Kolmogorov equation (2009) (41)
A Dynamical System Approach to the Self-Similar Large Time Behavior in Scalar Convection-Diffusion Equations (1994) (40)
Averaged controllability for random evolution Partial Differential Equations (2015) (40)
Controllability of tree-shaped networks of vibrating strings (2001) (40)
Discrete Ingham Inequalities and Applications (2004) (40)
Energy decay of magnetoelastic waves in a bounded conductive medium (1998) (39)
Remarks on Long Time Versus Steady State Optimal Control (2016) (39)
Unique Continuation and Control for the Heat Equation from an Oscillating Lower Dimensional Manifold (2004) (37)
Null Controllability for Wave Equations with Memory (2015) (37)
Dispersive properties of a viscous numerical scheme for the Schrodinger equation Proprietes dispersives d'un schema numer´ique visqueux pour l'´equation de Schrodinger (2005) (37)
Generic Simplicity of the Spectrum and Stabilization for a Plate Equation (2000) (36)
Control and Stabilization of Waves on 1-d Networks (2013) (36)
Exact boundary controllability of Galerkin's approximations of Navier-Stokes equations (1998) (36)
On a theorem of Ingham (1997) (36)
Uniform null-controllability for the one-dimensional heat equation with rapidly oscillating periodic density (2002) (36)
Hardy Inequalities, Observability, and Control for the Wave and Schrödinger Equations with Singular Potentials (2009) (36)
Exact boundary controllability of two Euler-Bernoulli beams connected by a point mass (2000) (35)
Convergence of a two-grid algorithm for the control of the wave equation (2009) (33)
Unique continuation for the linearized Benjamin-Bona-Mahony equation with space-dependent potential (2003) (33)
Large time behavior for convection-diffusion equations in irn with asymptotically constant diffusion (1995) (33)
Control, observation and polynomial decay for a coupled heat-wave system (2003) (33)
Null Controllability of Linear Heat and Wave Equations with Nonlocal Spatial Terms (2016) (33)
Uniform stabilization of the higher-dimensional system of thermoelasticity with a nonlinear boundary feedback (2001) (32)
2-D Euler Shape Design on Nonregular Flows Using Adjoint Rankine-Hugoniot Relations (2008) (32)
Timoshenko's plate equation as a singular limit of the dynamical von Kármán system (2000) (31)
On the lack of controllability of fractional in time ODE and PDE (2016) (31)
Homogenization and corrector for the wave equation in domains with small holes (1991) (31)
Exact boundary controllability for the wave equation in domains with small holes (1992) (31)
Large time control and turnpike properties for wave equations (2017) (29)
Approximate controllability of a semilinear heat equation in unbounded domains (1999) (29)
Controllability under positivity constraints of semilinear heat equations (2017) (29)
Parabolic singular limit of a wave equation with localized boundary damping (1995) (29)
A two-grid approximation scheme for nonlinear Schrödinger equations: dispersive properties and convergence (2005) (29)
High frequency asymptotic analysis of a string with rapidly oscillating density (2000) (29)
Long-time behavior for a convecti0n-diffusion equation in higher dimensions (1997) (28)
On exponential stability for von Kármán equations in the presence of thermal effects (1998) (28)
Approximate controllability of a hydro-elastic coupled system (1996) (28)
TIME DISCRETE WAVE EQUATIONS: BOUNDARY OBSERVABILITY AND CONTROL (2008) (27)
Improved Multipolar Hardy Inequalities (2013) (27)
ASYMPTOTIC EXPANSION FOR DAMPED WAVE EQUATIONS WITH PERIODIC COEFFICIENTS (2001) (27)
Controllability and positivity constraints in population dynamics with age structuring and diffusion (2019) (27)
Complexity and regularity of maximal energy domains for the wave equation with fixed initial data (2015) (27)
Controllability of an Elliptic equation and its Finite Difference Approximation by the Shape of the Domain (2003) (27)
Null controllability of viscous Hamilton-Jacobi equations ✩ (2012) (26)
On exact controllability of generic trees (2000) (26)
Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function (2016) (26)
Numerical meshes ensuring uniform observability of one-dimensional waves: construction and analysis (2016) (25)
Internal Observability for Coupled Systems of Linear Partial Differential Equations (2019) (25)
Observability of heat processes by transmutation without geometric restrictions (2011) (25)
Actuator Design for Parabolic Distributed Parameter Systems with the Moment Method (2017) (25)
The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide (2010) (24)
Finite Element Approximation of 2D Elliptic Optimal Design (2006) (24)
Local regularity for fractional heat equations (2017) (24)
Controllability of star-shaped networks of strings (2001) (24)
Controllability of Partial Differential Equations (2006) (24)
Controllability of the Kirchhoff System for Beams as a Limit of the Mindlin-Timoshenko System (2008) (24)
Dispersive Properties of Numerical Schemes for Nonlinear Schrödinger Equations (2005) (23)
Regularity issues for the null-controllability of the linear 1-d heat equation (2011) (23)
Optimal Control and Vanishing Viscosity for the Burgers Equation (2010) (23)
Generic simplicity of the eigenvalues of the Stokes system in two space dimensions (2001) (23)
Numerical aspects of large-time optimal control of Burgers equation (2016) (23)
Numerical aspects of large-time optimal control of Burgers equation (2016) (23)
Timoshenko's beam equation as limit of a nonlinear one-dimensional von Kármán system (2000) (23)
Propagation of 1D Waves in Regular Discrete Heterogeneous Media: A Wigner Measure Approach (2015) (23)
Greedy controllability of finite dimensional linear systems (2016) (22)
From averaged to simultaneous controllability of parameter dependent finite-dimensional systems (2015) (22)
Large-time asymptotics in deep learning (2020) (22)
Polynomial decay and control of a 1-d model for fluid-structure interaction (2003) (21)
The cost of controlling unstable systems: time irreversible systems (1997) (21)
Perfectly matched layers in 1-d : energy decay for continuous and semi-discrete waves (2008) (21)
Phase portrait control for 1D monostable and bistable reaction–diffusion equations (2018) (21)
Long-time behavior of solutions to a nonlinear hyperbolic relaxation system (2006) (21)
Convergence rates for dispersive approximation schemes to nonlinear Schr (2011) (21)
Explicit exponential decay rates for solutions of von Kármán's system of thermoelastic plates (1997) (21)
Asymptotics for the spectrum of a fluid/struture hybrid system arising in the control of noise (1998) (20)
Controllability for blowing up semilinear parabolic equations (2000) (20)
Averaged controllability of parameter dependent conservative semigroups (2017) (20)
Averaged controllability of parameter dependent conservative semigroups (2017) (20)
On the regularity of null-controls of the linear 1-d heat equation (2011) (20)
Log-Lipschitz regularity and uniqueness of the flow for a field in (2002) (20)
Numerical hypocoercivity for the Kolmogorov equation (2016) (20)
A sharp observability inequality for Kirchhoffplate systems with potentials (2006) (20)
Addendum: Local Elliptic Regularity for the Dirichlet Fractional Laplacian (2017) (19)
Allee optimal control of a system in ecology (2018) (19)
Stabilization of Berger–Timoshenko's equation as limit of the uniform stabilization of the von Kármán system of beams and plates (2002) (19)
The beam equation as a limit of a 1-D nonlinear von Kármán model (1999) (19)
ON THE DENSITY OF THE RANGE OF THE SEMIGROUP FOR SEMILINEAR HEAT EQUATIONS (1995) (19)
Exact controllability for a model of a multidimensional flexible structure (1993) (19)
Energy decay rates for the von Kármán system of thermoelastic plates (1998) (18)
Spectral boundary controllability of networks of strings (2002) (18)
Asymptotic Behavior of a Hyperbolic-parabolic Coupled System Arising in Fluid-structure Interaction (2006) (18)
Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws (2013) (18)
Flux identification for 1-d scalar conservation laws in the presence of shocks (2011) (18)
Weak observability estimates for 1-D wave equations with rough coefficients (2013) (17)
A Systematic Continuous Adjoint Approach to Viscous Aerodynamic Design on Unstructured Grids (2006) (17)
A hybrid system consisting in two flexible beams connected by a point mass: spectral analysis and well-posedness in asymmetric spaces (1997) (17)
Generation of 2D water waves by moving bottom disturbances (2012) (17)
The turnpike property in nonlinear optimal control — A geometric approach (2019) (17)
Large time behavior in \mathbb{R}^N for linear parabolic equations with periodic coefficients (2000) (17)
Uniform Exponential Decay for Viscous Damped Systems (2009) (16)
Asymptotic expansion for the generalized Benjamin-Bona-Mahony-Burger equation (2002) (16)
Minimal controllability time for finite-dimensional control systems under state constraints (2018) (16)
Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system (2010) (16)
Large Time Behavior for Convection-Diffusion Equations in RN with Periodic Coefficients (2000) (16)
Internal Controllability for Parabolic Systems Involving Analytic Non-local Terms (2018) (16)
Robust Grid Adaptation for Efficient Uncertainty Quantification (2012) (16)
On the Optimality of the Observability Inequalities for Kirchhoff Plate Systems with Potentials in Unbounded Domains (2008) (15)
Large Time Behavior for a Simplified N-Dimensional Model of Fluid–Solid Interaction (2005) (15)
Exact controllability for semilinear distributed systems (1988) (15)
Localized solutions for the finite difference semi-discretization of the wave equation (2010) (15)
Finite Difference Approximation of Homogenization Problems for Elliptic Equations (2005) (15)
Stable observation of additive superpositions of Partial Differential Equations (2016) (15)
Model predictive control with random batch methods for a guiding problem (2020) (15)
Controllability of the one-dimensional fractional heat equation under positivity constraints (2019) (15)
Greedy optimal control for elliptic problems and its application to turnpike problems (2018) (14)
A Stochastic Approach to the Synchronization of Coupled Oscillators (2020) (14)
Boundary approximate controllability for semilinear heat equations (1993) (14)
Dynamics and control for multi-agent networked systems: A finite-difference approach (2019) (14)
Some Results and Open Problems on the Controllability of Linear and Semilinear Heat Equations (2001) (13)
On the optimality of some observability inequalities for plate systems with potentials (2006) (13)
On the cost of controlling unstable systems: The case of boundary controls (1997) (13)
Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations (2019) (13)
A Uniqueness Result for the Linear System of Elasticity and Its Control Theoretical Consequences (1996) (13)
Spike Controls for Elliptic and Parabolic PDE (2013) (12)
On the Quadratic Finite Element Approximation of One-Dimensional Waves: Propagation, Observation, and Control (2012) (12)
Neural ODE control for classification, approximation and transport (2021) (12)
Asymptotic behavior and control of a “guidance by repulsion” model (2019) (12)
Numerical Approximation of a One-Dimensional Elliptic Optimal Design Problem (2011) (12)
Filtered gradient algorithms for inverse design problems of one-dimensional burgers equation (2017) (12)
Shape turnpike for linear parabolic PDE models (2019) (12)
Optimal shape design for 2D heat equations in large time (2017) (12)
The energy decay rate for the modified Von Kármán system of thermoelastic plates: An improvement (2003) (11)
Exact controllability and asymptotic limit for thin plates (1996) (11)
A Generic Uniqueness Result for the Stokes System and Its Control Theoretical Consequences (2017) (11)
Exact penalization of terminal constraints for optimal control problems (2016) (11)
Controllability Under Positivity Constraints of Multi-d Wave Equations (2018) (11)
Existence and boundary stabilization of a nonlinear hyperbolic equation with time-dependent coefficients ∗ (1998) (11)
Null control of a 1− d model of mixed hyperbolic-parabolic type (2002) (11)
Optimal strategies for driving a mobile agent in a guidance by repulsion model (2015) (11)
On a Constrained Approximate Controllability Problem for the Heat Equation (2001) (11)
Numerical approximation of null controls for the heat equation through transmutation (2009) (10)
Localized solutions and filtering mechanisms for the discontinuous Galerkin semi-discretizations of the 1−d wave equation (2010) (10)
High frequency wave packets for the Schr\"odinger equation and its numerical approximations (2010) (10)
Decay rates for $1-d$ heat-wave planar networks (2016) (9)
Null controllability of linear and semilinear heat equations in thin domains (2000) (9)
Turnpike in Lipschitz—nonlinear optimal control (2020) (9)
On the Nonexistence of Some Special Eigenfunctions for the Dirichlet Laplacian and the Lamé System (1998) (9)
Problem 5.5 Exact controllability of the semi-linear wave equation (2009) (9)
A quantitative analysis of Koopman operator methods for system identification and predictions (2022) (9)
Control of 2D scalar conservation laws in the presence of shocks (2015) (9)
Averaged controllability of parameter dependent wave equations (2015) (8)
Time Asymptotics For Heat and Dissipative Wave Equations (2020) (8)
Controllability of One-Dimensional Viscous Free Boundary Flows (2021) (8)
Exact Controllability of the Time Discrete Wave Equation: A Multiplier Approach (2010) (8)
Randomised observation, control and stabilization of waves (2016) (8)
Decay rates for elastic-thermoelastic star-shaped networks (2017) (8)
Boundary Stabilization for 1-d Semi-Discrete Wave Equation by Filtering Technique (7)
Recovery of an initial temperature from discrete sampling (2014) (7)
On the Control of Coupled Linear Systems (1998) (7)
Existence, uniqueness and controllability for Parabolic Equations in noncylindrical domains (2002) (7)
Controllability of shadow reaction-diffusion systems (2020) (7)
The turnpike property and the long-time behavior of the Hamilton-Jacobi equation (2020) (7)
Addendum to "Generic Simplicity of the Spectrum and Stabilization for a Plate Equation" (2003) (7)
Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces (2014) (7)
Sensitivity analysis of 1−d steady forced scalar conservation laws (2013) (7)
From averaged to simultaneous controllability (2016) (7)
Null controllability of the 1 − d heat equation as limit of the controllability of dissipative wave equations (1998) (7)
Approximate Boundary Controllability for the Wave Equation in Perforated Domains (1994) (7)
Controllability of a Class of Infinite Dimensional Systems With Age Structure. (2020) (7)
Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems (2016) (7)
Norm saturating property of time optimal controls for wave-type equations (2016) (7)
Recent advances in partial differential equations (1994) (7)
Tracking Control of 1D Scalar Conservation Laws in the Presence of Shocks (2014) (7)
Boundary Stabilization of Numerical Approximations of the 1-D Variable Coefficients Wave Equation: A Numerical Viscosity Approach (2014) (6)
Approximating travelling waves by equilibria of non-local equations (2011) (6)
Nonnegative control of finite-dimensional linear systems (2020) (6)
Propagation of One- and Two-Dimensional Discrete Waves Under Finite Difference Approximation (2018) (6)
ROBUST NULL CONTROLLABILITY FOR HEAT EQUATIONS WITH UNKNOWN SWITCHING CONTROL MODE (2014) (6)
Dispersion for 1-d Scrodinger and wave equation with BV coefficients (2012) (6)
Asymptotic behavior of scalar convection-diffusion equations (2020) (6)
Super-solutions of eigenvalue problems and the oscillation properties of second order evolution equations (1988) (6)
On a Weakly Damped System Arising in the Control of Noise (1998) (6)
Turnpike in optimal control of PDEs, ResNets, and beyond (2022) (6)
On the Quadratic Finite Element Approximation of 1D Waves: Propagation, Observation, Control, and Numerical Implementation (2013) (6)
Uniform observability of the wave equation via a discrete Ingham inequality (2005) (6)
The Inverse Problem for Hamilton-Jacobi Equations and Semiconcave Envelopes (2020) (6)
Long Time Behavior of a Coupled HeatWave System Arising in Fluid-Structure Interaction (2006) (5)
Transmutation techniques and observability for time-discrete approximation schemes of conservative systems (2013) (5)
A 2-Grid Algorithm for the 1-d Wave Equation (2003) (5)
A remark on the observability of conservative linear systems (2012) (5)
Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions (2020) (5)
Turnpike in optimal shape design (2019) (5)
Uniform null-controllability for the one-dimensional heat equation with rapidly oscillating coefficients (1998) (5)
Controllability of a multi-dimensional system of schrödinger equations: Application to a system of plate and beam equations (1993) (4)
Controllability of Nonlinear Partial Differential Equations (2003) (4)
Optimal Actuator Design via Brunovsky’s Normal Form (2021) (4)
When the "exact" discrete gradient is not the best choice in optimal shape design? (2011) (4)
Optimal shape and location of sensors or actuators in PDE models (2014) (4)
Interpolation and approximation via Momentum ResNets and Neural ODEs (2021) (4)
Constrained control of gene-flow models (2020) (4)
On the best observation of wave and Schrödinger equations in quantum ergodic billiards (2012) (4)
Dynamic Programming Interpretation of Turnpike and Hamilton-Jacobi-Bellman Equation Author: (2018) (4)
Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions (2018) (4)
Numerical meshes ensuring uniform observability of 1 d waves : construction and analysis ∗ (2015) (4)
Numerical aspects of sonic-boom minimization (2014) (4)
Symmetric Discontinuous Galerkin Methods for 1-D Waves: Fourier Analysis, Propagation, Observability and Applications (2014) (4)
Controllability of the Linear System of Thermoelasticity: Dirichlet-Neumann Boundary Conditions (1994) (4)
On a Constrained Approximate Controllability Problem for the Heat Equation: Addendum (2003) (4)
Constrained control of bistable reaction-diffusion equations: Gene-flow and spatially heterogeneous models (2019) (3)
Approximate controllability for the wave equation (1992) (3)
Modelling and optimisation of flows on networks : Cetraro, Italy 2009 (2013) (3)
A SEMIDISCRETIZATION SCHEME FOR A PHASE-FIELD TYPE MODEL FOR SOLIDIFICATION (2008) (3)
A systematic formulation of the continuous adjoint method applied to viscous aerodynamic design (2009) (3)
ON THE QUADRATIC FINITE ELEMENT APPROXIMATION OF 1-D WAVES: PROPAGATION, OBSERVATION AND CONTROL (2011) (3)
A Two-Dimensional "Flea on the Elephant" Phenomenon and its Numerical Visualization (2019) (3)
Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids (2019) (3)
ON THE NUMERICAL APPROXIMATION OF THE HELMHOLTZ EQUATIONS (2007) (3)
Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems (2020) (3)
On the Lack of Uniform Observability for Discontinuous Galerkin Approximations of Waves (2014) (3)
Finite Element Approximation of 2D Parabolic Optimal Design Problems (2006) (3)
Foundations of Computational Mathematics, Santander 2005: Dispersive Properties of Numerical Schemes for NSE (2006) (3)
Sparse source identification of linear diffusion-advection equations by adjoint methods (2020) (3)
Asymptotic expansions for anisotropic heat kernels (2012) (3)
Continuous Adjoint Approach for the Spalart-Allmaras Model in Aerodynamic Optimization (2011) (3)
Constrained control of bistable reaction-diffusion equations: Gene-flow and spatially heterogeneous models (2019) (3)
Initial Data Identification for the One-Dimensional Burgers Equation (2020) (3)
Addendum to “Concentration and Lack of Observability of Waves in Highly Heterogeneous Media” (2007) (3)
Sidewise control of 1-d waves (2021) (3)
The Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-smooth Tracking Terms (2020) (3)
Control of partial differential equations : Cetraro, Italy 2010 (2012) (3)
On a one-dimensional version of the dynamical Marguerre-Vlasov system (2001) (2)
PARABOLIC SINGULAR LIMIT OF A WAVE EQUATION WITH LOCALIZED INTERIOR DAMPING (2001) (2)
A two-stage numerical approach for the sparse initial source identification of a diffusion-advection equation (2022) (2)
The turnpike property in nonlinear optimal control - A geometric approach (2021) (2)
2D Navier-Stokes Shape Design Using a Level Set Method (2008) (2)
Averaged dynamics and control for heat equations with random diffusion (2021) (2)
Sidewise Profile Control of 1-D Waves (2022) (2)
The Linearized Benjamin-Bona-Mahony Equation : A Spectral Approach to Unique Continuation (2003) (2)
Optimal sensor location for wave and Schrödinger equations (2013) (2)
Numerics for the Control of Partial Dierential Equations (2012) (2)
Symmetric discontinuous Galerkin approximations of 1 d (2013) (2)
A framework for randomized time-splitting in linear-quadratic optimal control (2021) (2)
Optimal Population Control Through Sterile Males (2017) (2)
The Vlasov–Fokker–Planck equation with high dimensional parametric forcing term (2019) (2)
Decomposition for the flow of the heat equation with memory (2021) (2)
Flow decomposition for heat equations with memory (2021) (1)
Propagation of waves: numerical approximation and control (2003) (1)
Exact controllability, asymptotic methods and plates (1995) (1)
Further Comments and Open Problems (2013) (1)
Long‐time behaviour of diffusion waves for a viscous system of conservation laws in \mathbf{R}^N (1999) (1)
Control and numerical approximation of fractional diffusion equations (2021) (1)
Multilevel Selective Harmonic Modulation by Duality* (2021) (1)
Multilevel control by duality (2021) (1)
Robust observation of Partial Dierential Equations by additive perturbations (2015) (1)
Some results and open problems on the controllability of linear and semilinear heat equation (2002) (1)
Las matemáticas del control (2007) (1)
NUMERICAL SCHEMES FOR THE NONLINEAR SCHRÖDINGER EQUATION (2006) (1)
Finite Element Approximation of Wild Optimal Shapes (2004) (1)
Differentiability With Respect to the Initial Condition for Hamilton-Jacobi Equations (2021) (1)
Local Stability and Convergence of Unconstrained Model Predictive Control (2022) (1)
Inverse design for the one-dimensional Burgers equation (2019) (1)
Control of reaction-diffusion models in biology and social sciences (2022) (1)
Reachable set for Hamilton–Jacobi equations with non-smooth Hamiltonian and scalar conservation laws (2022) (1)
Asymptotics and stabilization for dynamic models of nonlinear beams (2010) (1)
On a nonlocal moving frame approximation of traveling waves (2011) (1)
A Parabolic Approach to the Control of Opinion Spreading (2019) (1)
Propagation of One- and Two-Dimensional Discrete Waves Under Finite Difference Approximation (2020) (1)
BLOWUP FOR A TIME-OSCILLATING NONLINEAR HEAT EQUATION (2013) (1)
Comments and Open Problems (2014) (1)
The turnpike property and the longtime behavior of the Hamilton–Jacobi–Bellman equation for finite-dimensional LQ control problems (2020) (1)
CONVERGENCE OF A TWO-GRID METHOD ALGORITHM FOR THE CONTROL OF THE WAVE EQUATION (2006) (1)
Linear projection-based CEST parameter estimation. (2022) (1)
Stochastic optimization methods for the simultaneous control of parameter-dependent systems (2020) (1)
Averaged controllability for parameter-dependent Evolution Partial Differential Equations (2015) (1)
Final Remarks and Open Problems (2006) (1)
Controlling nonlinear resonances in thin-walled structures: modeling, simulations, and experiments (2015) (0)
Greedy search of optimal approximate solutions (2022) (0)
Fourier Analysis of the Discontinuous Galerkin Methods (2014) (0)
Reachable subspaces, control regions and heat equations with memory (2021) (0)
EURHOMOGENIZATION WORKSHOP ON CONTROL INVERSE PROBLEMS AND THE CALCULUS OF VARIATIONS, MADRID, ESPAÑA, 24 - 25 FEBRERO (1995) (2009) (0)
Convergence of the Finite-Difference Method for the 1— d Wave Equation with Homogeneous Dirichlet Boundary Conditions (2013) (0)
Open problems on the two-grid method to optimize the computational cost (0)
Averaged control of uncertain wave equations (2013) (0)
Discontinuous Galerkin Approximations and Main Results (2014) (0)
Uniqueness problems for the Lame system arising in the control of vibrations (2017) (0)
Extensions to Other Numerical Approximation Schemes (2014) (0)
On the Controllability of Entropy Solutions of Scalar Conservation Laws at a Junction via Lyapunov Methods (2023) (0)
Gaussian Beam ansatz for finite difference wave equations (2022) (0)
Some uniqueness and observability problems arising in the control of vibrations (1999) (0)
Problem 5.3 Null-controllability of the heat equation in unbounded domains (2009) (0)
Enrike Zuazuarekin elkarrizketa, Matematika ikertzeko Basque Center for Applied Mathematics (BCAM) zentroaren zientzia-zuzendaria (2009) (0)
Control of Weakly Blowing up Semilinear Heat Equations (2002) (0)
Control of Euler and Navier-Stokes equations: Applications to optimal shape design in aeronautics (2007) (0)
Observability for the 1—d Finite-Difference Wave Equation (2013) (0)
26 PUBLICATION ACTIVITIES The Impact of Control Technology 28 APPLICATIONS OF CONTROL Position Control in Lithographic Equipment 48 PEOPLE IN CONTROL (2011) (0)
On the decay of one-dimensional locally and partially dissipated hyperbolic systems (2022) (0)
Optimal Shape and Location of Sensors for Parabolic Equations with Random Initial Data (2014) (0)
Null control of heat equations with analytic memory kernels (2015) (0)
Convergence with Nonhomogeneous Boundary Conditions (2013) (0)
Exponential decay for semilinear distributed systems with localized damping (1989) (0)
Transmutation techniques and observability for time-discrete approximation schemes of conservative systems (2014) (0)
The Three String Network (2006) (0)
Exact controllability of the wave equation in perforated domains (1990) (0)
Greedy optimal control for elliptic problems and its application to turnpike problems (2018) (0)
Preface: A tribute to professor Eduardo Casas on his 60th birthday (2018) (0)
Varios autores ESAIM:COCV. A tribute to Jacques-Louis Lions EDP Sciencies, Les Ulis Cedex A, France, 2002. (2009) (0)
ANU volume 31 Cover and Front matter (2022) (0)
Convergence of a multi-grid algorithm for the controllability of the wave equation (2005) (0)
Simultaneous Observation and Control from an Interior Region (2006) (0)
Navier-Stokes Shape Design Using a Level Set Method (2008) (0)
Propagation of 1D Waves in Regular Discrete Heterogeneous Media: A Wigner Measure Approach (2014) (0)
Some Useful Tools (2006) (0)
Modelling, control and asymptotics for a model of multi-dimensional flexible structure (1992) (0)
Solving an optimal control problem arised in ecology with AMPL (2018) (0)
Slow decay and turnpike for infinite-horizon hyperbolic LQ problems (2021) (0)
Large Time Asymptotics in Contaminant Transport in Porous Media with Variable Diffusion (2001) (0)
CONTROL OF CERTAIN PARABOLIC MODELS FROM BIOLOGY AND SOCIAL SCIENCES (2019) (0)
equation des ondes (2010) (0)
Other Equations on Networks (2006) (0)
Some Observability and Controllability Results for General Networks (2006) (0)
Computational performance of the MMOC in the inverse design of the Doswell frontogenesis equation (2022) (0)
High frequency wave packets for the Schrödinger equation and its numerical approximations Paquets d’ondes à haute fréquence pour l’équation de Schrödinger et ses approximations numériques (2010) (0)
Slow Decay and Turnpike for Infinite-Horizon Hyperbolic Linear Quadratic Problems (2022) (0)
On the lack of controllability of fractional in time ODE and PDE (2016) (0)
Asymptotic expansions for anisotropic heat kernels (2012) (0)
Sidewise Profile Control of 1-D Waves (2022) (0)
Current trend in applied mathematics (1996) (0)
The alternating descent method applied to the control of the sonic boom (2013) (0)
Internal Controllability for Parabolic Systems Involving Analytic Non-local Terms (2018) (0)
ON THE C OST OF CONTROLLING U NSTABLE S YSTEMS: THE C ASE OF BOUNDARY C ONTROLS (1997) (0)
Optimal Observation of the One-dimensional Wave Equation (2013) (0)
Optimal location of sensors and actuators for wave and heat processes (2013) (0)
Chapter 1 Null-controllability of the heat equation in unbounded domains (2003) (0)
Model Reduction of Converter-Dominated Power Systems by Singular Perturbation Theory (2019) (0)
wavecontrol : A program for the Control and Stabilization of waves . Manual . Contributors : (2005) (0)
Popular Books Similar With Switching The Control Are Listed Below : sw itc hi ng th e c on tro l (2010) (0)
Stability and Convergence of a Randomized Model Predictive Control Strategy (2022) (0)
Observability for heat equations with memory (2021) (0)
Mini-Workshop: Recent Developments on Approximation Methods for Controlled Evolution Equations (2015) (0)
Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions (2019) (0)

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