Hector O. Fattorini

Hector O. Fattorini's AcademicInfluence.com Rankings

Hector O. Fattorini

Mathematics

#7251

World Rank

#9888

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Measure Theory

#1991

World Rank

#2418

Historical Rank

mathematics Degrees

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Mathematics

Hector O. Fattorini's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University
Bachelors Mathematics University of California, Berkeley

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Hector O. Fattorini'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

Second Order Linear Differential Equations in Banach Spaces (1985) (516)
Infinite Dimensional Optimization and Control Theory (1999) (448)
Exact controllability theorems for linear parabolic equations in one space dimension (1971) (381)
The Cauchy Problem (1984) (365)
Boundary Control Systems (1968) (200)
Ordinary differential equations in linear topological space. II. (1969) (198)
Uniform bounds on biorthogonal functions for real exponentials with an application to the control theory of parabolic equations (1974) (153)
Some Remarks on Complete Controllability (1966) (120)
Infinite dimensional linear control systems : the time optimal and norm optimal problems (2005) (115)
On complete controllability of linear systems (1967) (111)
Existence of optimal controls for viscous flow problems (1992) (83)
A unified theory of necessary conditions for nonlinear nonconvex control systems (1987) (74)
Necessary and sufficient conditions for optimal controls in viscous flow problems (1994) (71)
Time-Optimal Control of Solutions of Operational Differenital Equations (1964) (70)
The time-optimal control problem in Banach spaces (1974) (66)
Ordinary Differential Equations in Linear Topological Spaces, I (2003) (53)
Necessary conditions for infinite-dimensional control problems (1988) (48)
Boundary Control of Temperature Distributions in a Parallelepipedon (1975) (41)
The maximum principle for nonlinear nonconvex systems in infinite dimensional spaces (1985) (34)
Optimal Problems for Nonlinear Parabolic Boundary Control Systems (1994) (33)
Optimal Control Problems with State Constraints in Fluid Mechanics and Combustion (1998) (32)
Uniformly Bounded Cosine Functions in Hilbert Space (1970) (31)
THE TIME OPTIMAL PROBLEM FOR DISTRIBUTED CONTROL OF SYSTEMS DESCRIBED BY THE WAVE EQUATION (1977) (28)
On uniform difference schemes for second-order singular perturbation problems in Banach spaces (1992) (28)
The hyperbolic singular perturbation problem: An operator theoretic approach (1987) (26)
Existence Theory and the Maximum Principle for Relaxed Infinite-Dimensional Optimal Control Problems (1994) (26)
Estimates for sequences biorthogonal to certain complex exponentials and boundary control of the wave equation (1977) (24)
Optimal control problems for distributed parameter systems in Banach spaces (1993) (24)
Optimal chattering controls for viscous flow (1995) (23)
Local controllability of a nonlinear wave equation (1975) (22)
Time and norm optimal controls: A survey of recent results and open problems (2011) (21)
Optimal control problems for distributed parameter systems governed by semilinear parabolic equations in l1 and l∞ spaces (1991) (18)
Optimal control problems with state constraints for semilinear distributed-parameter systems (1996) (18)
Relaxation Theorems, Differential Inclusions, and Filippov′s Theorem for Relaxed Controls in Semilinear Infinite Dimensional Systems (1994) (16)
Optimal control problems for nonlinear parabolic boundary control systems: the Dirichlet boundary condition (1994) (15)
A Remark on Existence of Solutions of Infinite-Dimensional Noncompact Optimal Control Problems (1997) (15)
A Remark on the “Bang-Bang” Principle for Linear Control Systems in Infinite-Dimensional Space (1968) (14)
A note on fractional derivatives of semigroups and cosine functions (1983) (14)
On the Angle of Dissipativity of Ordinary and Partial Differential Operators (1984) (13)
Extension and behavior at infinity of solutions of certain linear operational differential equations. (1970) (13)
Controllability of higher order linear systems. (1967) (13)
The Cauchy problem with incomplete initial data in Banach spaces. (1971) (12)
Infinite Dimensional Optimization and Control Theory: Optimal Control Problems with State Constraints (1999) (12)
Existence of singular extremals and singular functionals in reachable spaces (2001) (12)
The maximum principle in infinite dimension (2000) (11)
Singular perturbation and boundary layer for an abstract Cauchy problem (1983) (10)
Control in finite time of differential equations in banach space (2010) (10)
Optimal control of nonlinear systems: Convergence of suboptimal controls, II (1987) (10)
On a class of differential equations for vector-valued distributions (1970) (10)
Infinite dimensional control problems with state constraints (1991) (9)
Vanishing of the costate in pontryagin’s maximum principle and singular time optimal controls (2004) (8)
Second order linear di erential equations in Banach spaces North - Holland (1985) (8)
Reachable states in boundary control of the heat equation are independent of time (1978) (8)
Time optimality and the maximum principle in infinite dimension (2001) (8)
The Maximum Principle for Control Systems Described by Linear Parabolic Equations (2001) (7)
The underdetermined Cauchy problem in Banach spaces (1973) (7)
Exact controllability of linear systems in infinite dimensional spaces (1975) (7)
Nonlinear infinite dimensional optimal control problems with state constraints and unbounded control sets (1996) (6)
A representation theorem for distribution semigroups (1970) (6)
On the Schrödinger Singular Perturbation Problem (1985) (6)
Relaxation in Semilinear Infinite Dimensional Systems Modelling Fluid Flow Control Problems (1995) (5)
Convergence and approximation theorems for vector-valued distributions. (1983) (5)
The maximum principle for linear infinite dimensional control systems with state constraints (1994) (5)
The maximum principle for nonlinear nonconvex systems with set targets (1985) (5)
Relaxed controls in infinite dimensional systems (1991) (5)
Linear Control Systems in Sequence Spaces (2007) (4)
On the growth of solutions to second order differential equations in Banach spaces (1985) (4)
Invariance of the Hamiltonian in Control Problems for Semilinear Parabolic Distributed Parameter Systems (1994) (4)
Structure theorems for vector valued ultradistributions (1980) (4)
Smoothness of the costate and the target in the time and norm optimal problems (2006) (3)
SOME REMARKS ON CONVOLUTION EQUATIONS FOR VECTOR-VALUED DISTRIBUTIONS (1976) (3)
On Jordan operators and rigidity of linear control systems (1967) (3)
Time and Norm Optimal Controls for Linear Parabolic Equations: Necessary and Sufficient Conditions (2003) (3)
Time and Norm Optimality of Weakly Singular Controls (2011) (3)
The abstract Goursat problem (1971) (2)
Convergence of suboptimal controls: the point target case (1990) (2)
The Cauchy Problem: Contents (1984) (2)
Computing Methods in Optimization Problems (1969) (2)
Optimal Control Problems with State Constraints (1999) (2)
Two point boundary value problems for operational differential equations (1974) (2)
Robustness and convergence of suboptimal controls in distributed parameter systems (1997) (2)
Vector-valued distributions having a smooth convolution inverse (1980) (2)
Convergence of Suboptimal Controls for Point Targets (1987) (2)
Review: David L. Russell, Mathematics of finite-dimensional control systems. Theory and design (1980) (1)
Infinite Dimensional Optimization and Control Theory: Relaxed Controls in Infinite Dimensional Systems (1999) (1)
Control Problems for Parabolic Equations with State Constraints and Unbounded Control Sets (1998) (1)
Convergence of suboptimal elements in infinite dimensional nonlinear programming problems (1989) (1)
Some Remarks on Pontryagin’s Maximum Principle for Infinite Dimensional Control Problems (1990) (1)
Rates of convergences for suboptimal controls (1987) (1)
STRONG REGULARITY OF TIME AND NORM OPTIMAL CONTROLS (2011) (1)
Weak and strong extensions of first-order differential operators in Rm (1979) (1)
Constancy of the Hamiltonian in infinite dimensional control problems (1989) (1)
The Abstract Cauchy Problem for Time-Dependent Equations (1984) (0)
Infinite Dimensional Control Problems (1999) (0)
SPLICING OF TIME OPTIMAL CONTROLS (2012) (0)
Properly Posed Cauchy Problems: General Theory (1984) (0)
Infinite Dimensional Optimization and Control Theory: Foreword (1999) (0)
Infinite Dimensional Optimization and Control Theory: Spaces of Relaxed Controls. Topology and Measure Theory (1999) (0)
A BLOCK MOMENT METHOD TO HANDLE SPECTRAL CONDENSATION PHENOMENON IN PARABOLIC CONTROL PROBLEMS UNE MÉTHODE DES MOMENTS PAR BLOCS POUR GÉRER LA CONDENSATION SPECTRALE DANS LES PROBLÈMES DE CONTRÔLE PARABOLIQUE (2020) (0)
Infinite Dimensional Optimization and Control Theory: References (1999) (0)
Controlability of higher order linear systems (1967) (0)
The Cauchy Problem: Elements of Functional Analysis (1984) (0)
The Cauchy Problem: Perturbation and Approximation of Abstract Differential Equations (1984) (0)
Infinite Dimensional Optimization and Control Theory: Calculus of Variations and Control Theory (1999) (0)
An observation on a paper of A. Friedman (1968) (0)
Chapter 5 – Optimal Control of Diffusions (2005) (0)
Dissipative Operators and Applications (1984) (0)
Control with Bounded Inputs (1969) (0)
Optimal Control Problems Without Target Conditions (1999) (0)
Infinite Dimensional Optimization and Control Theory: Linear Control Systems (1999) (0)
The Cauchy Problem for Some Equations of Mathematical Physics: The Abstract Cauchy Problem (1984) (0)
Some Improperly Posed Cauchy Problems (1984) (0)
Infinite Dimensional Optimization and Control Theory: Interpolation and Domains of Fractional Powers (1999) (0)
Infinite Dimensional Optimization and Control Theory: Abstract Minimization Problems in Banach Spaces (1999) (0)
The Cauchy Problem: Abstract Parabolic Equations: Applications to Second Order Parabolic Equations (1984) (0)
Chapter 3 - Systems with Strongly Measurable Controls, II (2005) (0)
Chapter 4 – Optimal Control of Heat Propagation (2005) (0)
Optimal Boundary Control of Nonlinear Parabolic Equations (2020) (0)
Abstract Minimization Problems in Hilbert Spaces (1999) (0)
The Cauchy Problem in the Sense of Vector-Valued Distributions (1984) (0)
Infinite Dimensional Optimization and Control Theory: Abstract Minimization Problems: The Minimum Principle for the Time Optimal Problem (1999) (0)
Chapter 6 Appendix (2020) (0)
Infinite Dimensional Optimization and Control Theory: Differential Equations in Banach Spaces and Semigroup Theory (1999) (0)
Infinite Dimensional Optimization and Control Theory: The Minimum Principle for General Optimal Control Problems (1999) (0)
EXACT NULL-CONTROLLABILITY OF INTERCONNECTED ABSTRACT EVOLUTION EQUATIONS WITH UNBOUNDED INPUT OPERATORS (2021) (0)