Hélène Frankowska

Hélène Frankowska's AcademicInfluence.com Rankings

Hélène Frankowska

Mathematics

#3624

World Rank

#5318

Historical Rank

Measure Theory

#3101

World Rank

#3678

Historical Rank

mathematics Degrees

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Mathematics

Hélène Frankowska's Degrees

PhD Mathematics Université Paris Cité

Why Is Hélène Frankowska Influential?

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According to Wikipedia, Hélène Frankowska, or Halina Frankowska is a Polish and French mathematician known for her research in control theory and set-valued analysis. She is a director of research at the Centre national de la recherche scientifique, and works in the Institut de Mathématiques de Jussieu of Pierre and Marie Curie University.

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Hélène Frankowska'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

Lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations (1993) (198)
A priori estimates for operational differential inclusions (1990) (110)
Some inverse mapping theorems (1990) (108)
Filippov's and Filippov–Ważewski's Theorems on Closed Domains (2000) (85)
Existence of Neighboring Feasible Trajectories: Applications to Dynamic Programming for State-Constrained Optimal Control Problems (2000) (69)
Hamilton-Jacobi equations: Viscosity solutions and generalized gradients (1989) (69)
Invariance of stochastic control systems with deterministic arguments (2004) (69)
Hölder metric regularity of set-valued maps (2012) (67)
A Connection Between the Maximum Principle and Dynamic Programming for Constrained Control Problems (2005) (60)
Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations with Degenerate State Constraints (2000) (59)
Interior sphere property of attainable sets and time optimal control problems (2006) (55)
Lyusternik-Graves theorem and fixed points (2011) (52)
A measurable upper semicontinuous viability theorem for tubes (1996) (49)
Necessary conditions for infinite-dimensional control problems (1988) (48)
Stochastic Invariance for Differential Inclusions (2000) (47)
Autonomous Integral Functionals with Discontinuous Nonconvex Integrands: Lipschitz Regularity of Minimizers, DuBois—Reymond Necessary Conditions, and Hamilton—Jacobi Equations (2002) (42)
Discontinuous solutions of Hamilton–Jacobi–Bellman equation under state constraints (2013) (41)
Normality and Nondegeneracy for Optimal Control Problems with State Constraints (2015) (40)
L∞ estimates on trajectories confined to a closed subset (2012) (38)
On relations of the adjoint state to the value function for optimal control problems with state constraints (2013) (38)
The viability kernel algorithm for computing value functions of infinite horizon optimal control problems (1996) (37)
Normality of the maximum principle for nonconvex constrained Bolza problems (2007) (37)
Introduction: Set-Valued Analysis in Control Theory (2000) (36)
Stochastic viability of convex sets (2007) (36)
Value functions for Bolza problems with discontinuous Lagrangians and Hamilton-Jacobi inequalities (2000) (34)
Optimal Control under State Constraints (2011) (31)
Pointwise Second-Order Necessary Optimality Conditions for the Mayer Problem with Control Constraints (2013) (28)
Value function and optimality condition for semilinear control problems. II: Parabolic case (1996) (28)
Lyusternik-Graves Theorem and Fixed Points II (2012) (27)
Optimality Conditions and Synthesis for the Minimum Time Problem (2000) (26)
Normality of the maximum principle for absolutely continuous solutions to Bolza problems under state constraints (2009) (26)
Hyperbolic systems of partial differential inclusions (1991) (26)
Conical inverse mapping theorems (1992) (25)
Differential inclusions in Wasserstein spaces: The Cauchy-Lipschitz framework (2020) (25)
Regularity of Solution Maps of Differential Inclusions Under State Constraints (2007) (23)
A SECOND-ORDER MAXIMUM PRINCIPLE IN OPTIMAL CONTROL UNDER STATE CONSTRAINTS ∗ (2013) (20)
From pointwise to local regularity for solutions of Hamilton–Jacobi equations (2014) (20)
Existence of neighbouring feasible trajectories: applications to dynamic programming for state constrained optimal control problems (2000) (19)
Value function, relaxation, and transversality conditions in infinite horizon optimal control☆ (2018) (19)
Strong Local Minimizers in Optimal Control Problems with State Constraints: Second-Order Necessary Conditions (2018) (19)
Poincaré's recurrence theorem for set-valued dynamical systems (1991) (19)
Improved Sensitivity Relations in State Constrained Optimal Control (2015) (19)
Inward Pointing Trajectories, Normality of the Maximum Principle and the Non Occurrence of the Lavrentieff Phenomenon in Optimal Control under State Constraints (2012) (19)
Local regularity of the value function in optimal control (2013) (18)
First and second order necessary conditions for stochastic optimal controls (2016) (17)
Necessary optimality conditions for local minimizers of stochastic optimal control problems with state constraints (2019) (16)
Correction to: Necessary Optimality Conditions for Optimal Control Problems in Wasserstein Spaces (2021) (15)
Second-Order Necessary Optimality Conditions for the Mayer Problem Subject to a General Control Constraint (2015) (14)
Optimality and Characteristics of Hamilton-Jacobi-Bellman Equations (1992) (14)
Linearization and Boundary Trajectories of Nonsmooth Control Systems (1988) (14)
Existence and Lipschitz regularity of solutions to Bolza problems in optimal control (2009) (13)
The connection between the maximum principle and the value function for optimal control problems under state constraints (2004) (13)
Local Regularity of the Minimum Time Function (2015) (13)
Stochastic Optimal Control Problems with Control and Initial-Final States Constraints (2018) (13)
Necessary optimality conditions for infinite dimensional state constrained control problems (2018) (13)
Second-Order Sensitivity Relations and Regularity of the Value Function for Mayer's Problem in Optimal Control (2014) (12)
Stable representation of convex Hamiltonians (2014) (12)
Relaxation of Control Systems Under State Constraints (1999) (12)
A relaxation result for state constrained inclusions in infinite dimension (2016) (12)
On Bolza optimal control problems with constraints (2009) (11)
Optimal control for evolution equations with memory (2013) (11)
Necessary conditions for stochastic optimal control problems in infinite dimensions (2018) (10)
Invariant measures associated to degenerate elliptic operators (2010) (10)
Conditional visuo-motor learning and dimension reduction (2006) (10)
Necessary Optimality Conditions for Optimal Control Problems in Wasserstein Spaces (2021) (10)
Uniqueness of solutions to Hamilton-Jacobi equations arising in the Calculus of Variations (2000) (10)
Viability Kernel of Control Systems (1991) (10)
Necessary conditions for infinite horizon optimal control problems with state constraints (2018) (10)
Second-Order Necessary Conditions for a Strong Local Minimum in a Control Problem with General Control Constraints (2019) (10)
Optimal synthesis via superdifferentials of value function (2005) (9)
Infinite dimensional control problems with state constraints (1991) (9)
Lipschitz Continuity of the Value Function for the Infinite Horizon Optimal Control Problem Under State Constraints (2019) (9)
Pointwise second-order necessary optimality conditions and second-order sensitivity relations in optimal control (2017) (9)
ON LeFLOCH'S SOLUTIONS TO THE INITIAL-BOUNDARY VALUE PROBLEM FOR SCALAR CONSERVATION LAWS (2010) (8)
On the single valuedness of Hamilton-Jacobi operators (1986) (8)
Sensitivity relations for the Mayer problem with differential inclusions (2014) (8)
Lipschitz regularity of solution map of control systems with multiple state constraints (2011) (8)
Hölder Continuity of Adjoint States and Optimal Controls for State Constrained Problems (2008) (8)
First and second order necessary optimality conditions for controlled stochastic evolution equations with control and state constraints (2019) (7)
On singularities of value function for Bolza optimal control problem (2005) (7)
Semiconcavity and Sensitivity Analysis in Mean-Field Optimal Control and Applications (2021) (6)
OPtimal Synthesis And Normality Of The Maximum Principle For Optimal Control Problems With Pure State Constraints (2011) (6)
Invariant measure for a class of parabolic degenerate equations (2006) (6)
Solutions to Hamilton–Jacobi equation on a Wasserstein space (2021) (5)
The Goh necessary optimality conditions for the Mayer problem with control constraints (2013) (5)
Invariance for quasi-dissipative systems in Banach spaces (2018) (5)
Feedback controls for uncertain systems (1991) (5)
On the solution map of control systems with multiple state constraints (2010) (4)
The Poincaré–Miranda theorem and viability condition (2018) (4)
A note on the value function for constrained control problems (2006) (4)
Distance estimates to feasible controls for systems with final point constraints and second order necessary optimality conditions (2020) (4)
Existence, uniqueness, and regularity of the invariant measure for a class of elliptic degenerate operators (2004) (4)
On derivative criteria for metric regularity (2013) (4)
Jacobson type necessary optimality conditions for general control systems (2015) (3)
Derivatives of Set-Valued Map (2009) (3)
Semiconcavity results and sensitivity relations for the sub-Riemannian distance (2019) (3)
Distance estimates for state constrained trajectories of infinite dimensional differential inclusions (2018) (3)
Explicit construction of solutions to the Burgers equation with discontinuous initial-boundary conditions (2013) (3)
A Relaxation Result for State-Constrained Delay Differential Inclusions (2018) (3)
Domain invariance for local solutions of semilinear evolution equations in Hilbert spaces (2020) (3)
Hamilton-Jacobi inequalities on a metric space (2021) (3)
On the Properties of the Value Function Associated to a Mean-Field Optimal Control Problem of Bolza Type* (2021) (2)
Global output regulation of nonlinear systems (2002) (2)
On Second-Order Necessary Conditions in Optimal Control of Problems with Mixed Final Point Constraints (2019) (2)
Long-time behaviour of solutions to an evolution PDE with nonstandard growth (2020) (2)
Isaacs' Equations for Value-Functions of Differential Games (1992) (2)
Filippov’s Theorem for mutational inclusions in a metric space (2022) (2)
Second order necessary conditions for optimal control problems of evolution equations involving final point equality constraints (2021) (2)
Viable trajectories for nonconvex differential inclusions with constant delay (2018) (1)
Viability and invariance of systems on metric spaces (2022) (1)
Necessary Optimality Conditions for Weak Local Minima in Stochastic Control (2016) (1)
On second order necessary conditions in infinite dimensional optimal control with state constraints (2019) (1)
Improved Sensitivity Relations in State Constrained Optimal Control (2014) (1)
Invariance of Closed Sets Under Stochastic Control Systems (2005) (1)
Normality and Nondegeneracy for Optimal Control Problems with State Constraints (2015) (1)
Infinite Horizon Optimal Control of Non-Convex Problems Under State Constraints (2020) (1)
Discontinuous solutions of Hamilton–Jacobi–Bellman equation under state constraints (2012) (1)
Closed Convex Processes (2009) (1)
Selections and Parametrization (2009) (1)
Infinite horizon optimal control: Transversality conditions and sensitivity relations (2017) (1)
Mean-Field Optimal Control of Continuity Equations and Differential Inclusions (2020) (1)
Relaxing constrained control systems (1998) (1)
Stochastic Invariance and Degenerate Elliptic Operators (2008) (1)
Special issue on Mathematics of Traffic Flow Modeling, Estimation and Control (2013) (1)
Sensitivity interpretations of the co-state trajectory for opimal control problems with state constraints (2013) (1)
Lipschitz Continuity of Optimal Trajectories in Deterministic Optimal Control (2007) (1)
Viability and Exponentially Stable Trajectories for Differential Inclusions in Wasserstein Spaces* (2022) (1)
Carath\'eodory Theory and A Priori Estimates for Continuity Inclusions in the Space of Probability Measures (2023) (1)
The value does not exist! A motivation for extremal analysis (2022) (0)
Graphical & Epigraphical Convergence (2009) (0)
Set-valued analysis, viability theory and partial differential inclusions (1996) (0)
Foreword: Special issue on “Convex Analysis and Optimization: New Trends in Theory and Applications” (2018) (0)
Hölder continuity of minimizers for the state constrained Boza problem (2007) (0)
Minimal trajectories of nonconvex differential inclusions (1989) (0)
Regularity of the Adjoint Variable in Optimal Control under State Constraints (2005) (0)
Second-Order Necessary Conditions for a Strong Local Minimum in a Control Problem with General Control Constraints (2017) (0)
Continuity of Set-Valued Maps (2009) (0)
A P ] 2 5 Ju l 2 00 2 Autonomous Integral Functionals with Discontinuous Nonconvex Integrands : Lipschitz Regularity of Minimizers , DuBois-Reymond Necessary Conditions , and Hamilton-Jacobi Equations (2008) (0)
Sensitivity relations for the Mayer problem of optimal control (2014) (0)
On the Viability and Invariance of Proper Sets under Continuity Inclusions in Wasserstein Spaces (2023) (0)
Value Function of an Infinite Dimensional Infinite Horizon Problem (2020) (0)
Conditional Visuomotor Learning and Viability Theory (2005) (0)
Value Functions and Optimality Conditions for Nonconvex Variational Problems with an Infinite Horizon in Banach Spaces (2018) (0)
Invariance of sets under mutational inclusions on metric spaces (2023) (0)
On relations of the adjoint state to the value function for optimal control problems with state constraints (2012) (0)
Epiderivatives of Extended Function (2009) (0)
Measurability and Integration of Set-Valued Maps (2009) (0)
Local Regularity of the Minimum Time Function (2014) (0)
Topological Properties of the Approximate Subdifferential * Rene Henrion ́ (1997) (0)
Hölder metric regularity of set-valued maps (2010) (0)
Existence and Stability of an Equilibrium (2009) (0)

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Hélène Frankowska's Academic­Influence.com Rankings