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Frankowska, Hélène

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Published as: Frankowska, Hélène; Frankowska, Halina; Frankowska, H.; Frankowska, Helene
Homepage: https://webusers.imj-prg.fr/~helene.frankowska/
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Serials

16 Comptes Rendus de l’Académie des Sciences. Série I
14 SIAM Journal on Control and Optimization
13 Journal of Differential Equations
10 Journal of Mathematical Analysis and Applications
10 Applied Mathematics and Optimization
5 Journal of Optimization Theory and Applications
5 Systems & Control Letters
5 Set-Valued Analysis
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Calculus of Variations and Partial Differential Equations
4 NoDEA. Nonlinear Differential Equations and Applications
4 Journal of Convex Analysis
3 Transactions of the American Mathematical Society
2 Annales Polonici Mathematici
2 Mathematics of Operations Research
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Problems of Control and Information Theory
2 Stochastic Processes and their Applications
2 Bulletin of the Polish Academy of Sciences, Mathematics
2 Networks and Heterogeneous Media
2 Mathematical Control and Related Fields
2 Nonlinear Analysis. Theory, Methods & Applications
1 Bulletin of the Australian Mathematical Society
1 Stochastics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Canadian Journal of Mathematics
1 Control and Cybernetics
1 IEEE Transactions on Automatic Control
1 Indiana University Mathematics Journal
1 Journal of the London Mathematical Society. Second Series
1 Proceedings of the American Mathematical Society
1 Stochastic Analysis and Applications
1 Optimization
1 MCSS. Mathematics of Control, Signals, and Systems
1 Differential and Integral Equations
1 Dynamic Systems and Applications
1 Mathematical Programming. Series A. Series B
1 Journal of Mathematical Systems, Estimation, and Control
1 Serdica Mathematical Journal
1 Discrete and Continuous Dynamical Systems
1 Journal of Evolution Equations
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Hyperbolic Differential Equations
1 Systems & Control: Foundations & Applications
1 Advances in Calculus of Variations
1 Modern Birkhäuser Classics

Publications by Year

Citations contained in zbMATH Open

151 Publications have been cited 2,463 times in 1,672 Documents Cited by Year
Set-valued analysis. Zbl 0713.49021
Aubin, Jean-Pierre; Frankowska, Hélène
797
1990
Lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations. Zbl 0796.49024
Frankowska, Hélène
80
1993
Existence of neighboring feasible trajectories: applications to dynamic programming for state-constrained optimal control problems. Zbl 1050.49022
Frankowska, H.; Vinter, R. B.
79
2000
Set-valued analysis. Reprint of the 1990 original. Zbl 1168.49014
Aubin, Jean-Pierre; Frankowska, Hélène
77
2009
Some characterizations of optimal trajectories in control theory. Zbl 0744.49011
Cannarsa, Piermarco; Frankowska, Halina
62
1991
Measurable viability theorems and the Hamilton-Jacobi-Bellman equation. Zbl 0836.34016
Frankowska, H.; Plaskacz, S.; Rzeżuchowski, T.
55
1995
A priori estimates for operational differential inclusions. Zbl 0705.34016
Frankowska, Halina
52
1990
Hölder metric regularity of set-valued maps. Zbl 1262.90173
Frankowska, Hélène; Quincampoix, Marc
38
2012
Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation. Zbl 0672.49023
Frankowska, Halina
37
1989
Some inverse mapping theorems. Zbl 0727.26014
Frankowska, Hélène
37
1990
Filippov’s and Filippov-Ważewski’s theorems on closed domains. Zbl 0956.34012
Frankowska, Hélène; Rampazzo, Franco
35
2000
An open mapping principle for set-valued maps. Zbl 0643.46034
Frankowska, Halina
30
1987
The maximum principle for an optimal solution to a differential inclusion with end points constraints. Zbl 0614.49017
Frankowska, Halina
28
1987
Controllability of convex processes. Zbl 0607.49025
Aubin, Jean-Pierre; Frankowska, Halina; Olech, Czesław
26
1986
A connection between the maximum principle and dynamic programming for constrained control problems. Zbl 1085.49032
Cernea, Aurelian; Frankowska, Hélène
25
2005
Lyusternik-Graves theorem and fixed points. Zbl 1211.49023
Dontchev, Asen L.; Frankowska, Hélène
25
2011
Interior sphere property of attainable sets and time optimal control problems. Zbl 1105.93007
Cannarsa, Piermarco; Frankowska, Hélène
24
2006
A measurable upper semicontinuous viability theorem for tubes. Zbl 0838.34017
Frankowska, Hélène; Plaskacz, Sławomir
23
1996
A stochastic Filippov theorem. Zbl 0810.60059
da Prato, Guiseppe; Frankowska, H.
23
1994
Contingent cones to reachable sets of control systems. Zbl 0671.49030
Frankowska, Halina
22
1989
On inverse function theorems for set-valued maps. Zbl 0643.46033
Aubin, Jean-Pierre; Frankowska, Halina
21
1987
Semicontinuous solutions of Hamilton-Jacobi-Bellman equations with degenerate state constraints. Zbl 1056.49026
Frankowska, Hélène; Plaskacz, Sławomir
21
2000
Discontinuous solutions of Hamilton-Jacobi-Bellman equation under state constraints. Zbl 1263.49025
Frankowska, Hélène; Mazzola, Marco
21
2013
Local controllability and infinitesimal generators of semigroups of set- valued maps. Zbl 0625.49015
Frankowska, Halina
20
1987
Necessary conditions for infinite-dimensional control problems. Zbl 0737.49017
Fattorini, H. O.; Frankowska, H.
20
1991
Autonomous integral functionals with discontinuous nonconvex integrands: Lipschitz regularity of minimizers, BuBois-Reymond necessary conditions, and Hamilton-Jacobi equations. Zbl 1035.49035
Dal Maso, Gianni; Frankowska, Hélène
20
2003
On relations of the adjoint state to the value function for optimal control problems with state constraints. Zbl 1269.49035
Frankowska, Hélène; Mazzola, Marco
20
2013
Invariance of stochastic control systems with deterministic arguments. Zbl 1066.93049
Da Prato, Giuseppe; Frankowska, Hélène
19
2004
\(L^{\infty }\) estimates on trajectories confined to a closed subset. Zbl 1237.34022
Bettiol, Piernicola; Frankowska, Hélène; Vinter, Richard B.
19
2012
Normality and nondegeneracy for optimal control problems with state constraints. Zbl 1322.49035
Fontes, Fernando A. C. C.; Frankowska, Hélène
19
2015
Hamilton-Jacobi equations: Viscosity solutions and generalized gradients. Zbl 0727.35028
Frankowska, Hélène
18
1989
Pointwise second-order necessary optimality conditions for the Mayer problem with control constraints. Zbl 1285.49013
Frankowska, Hélène; Tonon, Daniela
18
2013
Value function and optimality conditions for semilinear control problems. Zbl 0765.49001
Cannarsa, Piermarco; Frankowska, Halina
15
1992
Value functions for Bolza problems with discontinuous Lagrangians and Hamilton-Jacobi inequalities. Zbl 0952.49024
Dal Maso, Gianni; Frankowska, Hélène
15
2000
Optimality conditions and synthesis for the minimum time problem. Zbl 0988.49010
Cannarsa, Piermarco; Frankowska, Hélène; Sinestrari, Carlo
14
2000
Conjugate points and shocks in nonlinear optimal control. Zbl 0924.49016
Caroff, N.; Frankowska, H.
14
1996
On controllability and observability of implicit systems. Zbl 0699.93003
Frankowska, Halina
14
1990
High order inverse function theorems. Zbl 0701.49040
Frankowska, H.
14
1989
Normality of the maximum principle for nonconvex constrained Bolza problems. Zbl 1161.49021
Bettiol, Piernicola; Frankowska, Hélène
12
2007
A viability approach to the Skorohod problem. Zbl 0601.60059
Frankowska, Halina
12
1985
Local controllability of control systems with feedback. Zbl 0633.93013
Frankowska, H.
12
1989
Conical inverse mapping theorems. Zbl 0744.93015
Frankowska, Hélène
12
1992
Stochastic viability for compact sets in terms of the distance function. Zbl 1003.60059
Da Prato, Giuseppe; Frankowska, Hélène
12
2001
A second-order maximum principle in optimal control under state constraints. Zbl 1324.49017
Frankowska, Hélène; Hoehener, Daniel; Tonon, Daniela
12
2013
Improved sensitivity relations in state constrained optimal control. Zbl 1317.49035
Bettiol, Piernicola; Frankowska, Hélène; Vinter, Richard B.
12
2015
Stochastic invariance for differential inclusions. Zbl 0976.49016
Aubin, Jean-Pierre; da Prato, Giuseppe; Frankowska, Hélène
11
2000
Stochastic viability of convex sets. Zbl 1117.60060
Da Prato, Giuseppe; Frankowska, Hélène
11
2007
Lyusternik-Graves theorem and fixed points II. Zbl 1264.49016
Dontchev, Asen L.; Frankowska, Hélène
11
2012
Regularity of minimizers and of adjoint states in optimal control under state constraints. Zbl 1099.49026
Frankowska, Hélène
11
2006
Local regularity of the value function in optimal control. Zbl 1280.49056
Cannarsa, P.; Frankowska, H.
11
2013
From pointwise to local regularity for solutions of Hamilton-Jacobi equations. Zbl 1288.35144
Cannarsa, P.; Frankowska, H.
11
2014
Controllability and observability of control systems under uncertainty. Zbl 0745.93004
Aubin, Jean-Pierre; Frankowska, Halina
10
1990
Viability kernel of control systems. Zbl 0738.93002
Aubin, J.-P.; Frankowska, H.
10
1991
Poincaré’s recurrence theorem for set-valued dynamical systems. Zbl 0760.54026
Aubin, Jean-Pierre; Frankowska, Hélène; Lasota, Andrzej
10
1991
Strong local minimizers in optimal control problems with state constraints: second-order necessary conditions. Zbl 1393.49016
Frankowska, Hélène; Osmolovskii, Nikolai P.
10
2018
The first order necessary conditions for nonsmooth variational and control problems. Zbl 0529.49011
Frankowska, Halina
10
1984
Inclusions adjointes associées aux trajectoires mimimales d’inclusions différentielles. Zbl 0532.49024
Frankowska, Halina
10
1983
Regularity of solution maps of differential inclusions under state constraints. Zbl 1126.34011
Bettiol, Piernicola; Frankowska, Hélène
10
2007
Inward pointing trajectories, normality of the maximum principle and the non occurrence of the Lavrentieff phenomenon in optimal control under state constraints. Zbl 1281.49016
Frankowska, Hélène; Tonon, Daniela
10
2013
Linearization and boundary trajectories of nonsmooth control systems. Zbl 0651.49016
Frankowska, H.; Kaśkosz, B.
9
1989
Semicontinuous solutions of Hamilton-Jacobi-Bellman equations with state constraints. Zbl 1096.49520
Frankowska, Hélène; Plaskacz, Sławomir
9
1998
First and second order necessary conditions for stochastic optimal controls. Zbl 1352.93100
Frankowska, Hélène; Zhang, Haisen; Zhang, Xu
8
2017
Second-order sensitivity relations and regularity of the value function for Mayer’s problem in optimal control. Zbl 1335.49040
Cannarsa, P.; Frankowska, H.; Scarinci, T.
8
2015
Second-order necessary optimality conditions for the Mayer problem subject to a general control constraint. Zbl 1329.49033
Frankowska, Hélène; Osmolovskii, Nikolai P.
8
2015
Value function in optimal control. Zbl 1098.49501
Frankowska, Hélène
8
2002
The viability kernel algorithm for computing value functions of infinite horizon optimal control problems. Zbl 0862.65039
Aubin, Jean-Pierre; Frankowska, Hélène
8
1996
Set-valued solutions to the Cauchy problem for hyperbolic systems of partial differential inclusions. Zbl 0879.35096
Aubin, Jean-Pierre; Frankowska, Halina
8
1997
Lipschitzianity of optimal trajectories for the Bolza optimal control problem. Zbl 1108.49013
Frankowska, H.; Marchini, E. M.
8
2006
Local regularity of the minimum time function. Zbl 1311.49094
Frankowska, Hélène; Nguyen, Luong V.
8
2015
Hyperbolic systems of partial differential inclusions. Zbl 0754.49005
Aubin, Jean-Pierre; Frankowska, Hélène
7
1991
Équations d’Hamilton-Jacobi contingents. (Contingent Hamilton-Jacobi equation). Zbl 0612.49023
Frankowska, Halina
7
1987
Invariant measures associated to degenerate elliptic operators. Zbl 1208.60053
Cannarsa, P.; Da Prato, G.; Frankowska, H.
7
2010
Existence and Lipschitz regularity of solutions to Bolza problems in optimal control. Zbl 1169.49001
Cannarsa, P.; Frankowska, H.; Marchini, E. M.
7
2009
Second-order necessary conditions for a strong local minimum in a control problem with general control constraints. Zbl 1421.49019
Frankowska, Hélène; Osmolovskii, Nikolai P.
7
2019
Necessary conditions for the Bolza problem. Zbl 0589.49011
Frankowska, Halina
6
1985
Value function, relaxation, and transversality conditions in infinite horizon optimal control. Zbl 1376.49016
Cannarsa, P.; Frankowska, H.
6
2018
A maximum principle for differential inclusion problems with state constraints. Zbl 0676.49019
Frankowska, Halina; Kaśkosz, Barbara
6
1988
Optimal control for evolution equations with memory. Zbl 1260.49038
Cannarsa, P.; Frankowska, H.; Marchini, E. M.
6
2013
Sensitivity relations for the Mayer problem with differential inclusions. Zbl 1319.49036
Cannarsa, Piermarco; Frankowska, Hélène; Scarinci, Teresa
6
2015
Stable representation of convex Hamiltonians. Zbl 1304.49049
Frankowska, Hélène; Sedrakyan, Hayk
6
2014
Optimality and characteristics of Hamilton-Jacobi-Bellman equations. Zbl 0788.93011
Caroff, Nathalie; Frankowska, Hélène
5
1992
Hamilton-Jacobi equations for infinite horizon control problems with state constraints. Zbl 0996.49016
Frankowska, H.; Plaskacz, S.
5
2000
Necessary optimality conditions for infinite dimensional state constrained control problems. Zbl 1390.49025
Frankowska, H.; Marchini, E. M.; Mazzola, M.
5
2018
A relaxation result for state constrained inclusions in infinite dimension. Zbl 1348.34111
Frankowska, Helene; Marchini, Elsa Maria; Mazzola, Marco
5
2016
Value function and optimality condition for semilinear control problems. II: Parabolic case. Zbl 0862.49021
Cannarsa, P.; Frankowska, H.
5
1996
Stochastic optimal control problems with control and initial-final states constraints. Zbl 1391.93294
Frankowska, Hélène; Zhang, Haisen; Zhang, Xu
5
2018
Adjoint differential inclusions in necessary conditions for the minimal trajectories of differential inclusions. Zbl 0576.49013
Frankowska, H.
5
1985
Optimal control under state constraints. Zbl 1226.49017
Frankowska, Hélène
5
2011
Necessary optimality conditions for local minimizers of stochastic optimal control problems with state constraints. Zbl 1417.93335
Frankowska, Hélène; Zhang, Haisen; Zhang, Xu
5
2019
On Bolza optimal control problems with constraints. Zbl 1161.49016
Cannarsa, Piermarco; Frankowska, Hélène; Marchini, Elsa M.
4
2009
Measurable viability theorems and Hamilton-Jacobi- Bellman equation. (Théorèmes de viabilité mesurables et l’équation d’Hamilton- Jacobi-Bellman ine.) Zbl 0760.34020
Frankowska, Hélène; Plaskacz, Sławomir; Rzeżuchowski, Tadeusz
4
1992
R-convexity of the integral of set-valued functions. Zbl 0547.28007
Frankowska, Halina; Olech, Czesław
4
1981
Un algorithme déterminant les noyaux de viabilité pour des inclusions différentielles avec contraintes. (An algorithm for viability kernels of differential inclusions with constraints). Zbl 0719.58007
Frankowska, Hélène; Quincampoix, Marc
4
1991
Introduction: Set-valued analysis in control theory. Zbl 0962.49001
Aubin, Jean-Pierre; Frankowska, Hélène
4
2000
Relaxation of control systems under state constraints. Zbl 0924.34059
Frankowska, Hélène; Rampazzo, Franco
4
1999
Hölder continuity of adjoint states and optimal controls for state constrained problems. Zbl 1140.49027
Bettiol, Piernicola; Frankowska, Hélène
4
2008
Lipschitz regularity of solution map of control systems with multiple state constraints. Zbl 1236.93083
Bettiol, Piernicola; Frankowska, Hélène
4
2012
Necessary conditions for infinite horizon optimal control problems with state constraints. Zbl 1422.49022
Basco, Vincenzo; Cannarsa, Piermarco; Frankowska, Hélène
4
2018
Differential inclusions in Wasserstein spaces: the Cauchy-Lipschitz framework. Zbl 1454.49018
Bonnet, Benoît; Frankowska, Hélène
4
2021
Dissipative control systems and disturbance attention for nonlinear \(H^\infty\) problems. Zbl 0943.93022
Frankowska, H.; Quincampoix, M.
3
1999
Differential inclusions in Wasserstein spaces: the Cauchy-Lipschitz framework. Zbl 1454.49018
Bonnet, Benoît; Frankowska, Hélène
4
2021
Necessary optimality conditions for optimal control problems in Wasserstein spaces. Zbl 07498406
Bonnet, Benoît; Frankowska, Hélène
1
2021
Hamilton-Jacobi inequalities on a metric space. Zbl 1454.49007
Badreddine, Zeinab; Frankowska, Hélène
1
2021
First and second order necessary optimality conditions for controlled stochastic evolution equations with control and state constraints. Zbl 1440.93265
Frankowska, Hélène; Lü, Qi
3
2020
Necessary conditions for stochastic optimal control problems in infinite dimensions. Zbl 1441.93337
Frankowska, Hélène; Zhang, Xu
2
2020
Domain invariance for local solutions of semilinear evolution equations in Hilbert spaces. Zbl 1454.58010
Cannarsa, Piermarco; Da Prato, Giuseppe; Frankowska, Hélène
2
2020
Distance estimates to feasible controls for systems with final point constraints and second order necessary optimality conditions. Zbl 1454.49008
Frankowska, H.; Osmolovskii, N. P.
2
2020
Second-order necessary conditions for a strong local minimum in a control problem with general control constraints. Zbl 1421.49019
Frankowska, Hélène; Osmolovskii, Nikolai P.
7
2019
Necessary optimality conditions for local minimizers of stochastic optimal control problems with state constraints. Zbl 1417.93335
Frankowska, Hélène; Zhang, Haisen; Zhang, Xu
5
2019
Lipschitz continuity of the value function for the infinite horizon optimal control problem under state constraints. Zbl 1427.49011
Basco, Vincenzo; Frankowska, Hélène
3
2019
Hamilton-Jacobi-Bellman equations with time-measurable data and infinite horizon. Zbl 1409.49006
Basco, V.; Frankowska, H.
3
2019
Viability of an open set for stochastic control systems. Zbl 1479.49033
Buckdahn, R.; Frankowska, H.; Quincampoix, M.
1
2019
Strong local minimizers in optimal control problems with state constraints: second-order necessary conditions. Zbl 1393.49016
Frankowska, Hélène; Osmolovskii, Nikolai P.
10
2018
Value function, relaxation, and transversality conditions in infinite horizon optimal control. Zbl 1376.49016
Cannarsa, P.; Frankowska, H.
6
2018
Necessary optimality conditions for infinite dimensional state constrained control problems. Zbl 1390.49025
Frankowska, H.; Marchini, E. M.; Mazzola, M.
5
2018
Stochastic optimal control problems with control and initial-final states constraints. Zbl 1391.93294
Frankowska, Hélène; Zhang, Haisen; Zhang, Xu
5
2018
Necessary conditions for infinite horizon optimal control problems with state constraints. Zbl 1422.49022
Basco, Vincenzo; Cannarsa, Piermarco; Frankowska, Hélène
4
2018
Invariance for quasi-dissipative systems in Banach spaces. Zbl 06790532
Cannarsa, P.; Da Prato, G.; Frankowska, H.
3
2018
First and second order necessary conditions for stochastic optimal controls. Zbl 1352.93100
Frankowska, Hélène; Zhang, Haisen; Zhang, Xu
8
2017
Pointwise second-order necessary optimality conditions and second-order sensitivity relations in optimal control. Zbl 1373.49023
Frankowska, Hélène; Hoehener, Daniel
3
2017
A relaxation result for state constrained inclusions in infinite dimension. Zbl 1348.34111
Frankowska, Helene; Marchini, Elsa Maria; Mazzola, Marco
5
2016
Normality and nondegeneracy for optimal control problems with state constraints. Zbl 1322.49035
Fontes, Fernando A. C. C.; Frankowska, Hélène
19
2015
Improved sensitivity relations in state constrained optimal control. Zbl 1317.49035
Bettiol, Piernicola; Frankowska, Hélène; Vinter, Richard B.
12
2015
Second-order sensitivity relations and regularity of the value function for Mayer’s problem in optimal control. Zbl 1335.49040
Cannarsa, P.; Frankowska, H.; Scarinci, T.
8
2015
Second-order necessary optimality conditions for the Mayer problem subject to a general control constraint. Zbl 1329.49033
Frankowska, Hélène; Osmolovskii, Nikolai P.
8
2015
Local regularity of the minimum time function. Zbl 1311.49094
Frankowska, Hélène; Nguyen, Luong V.
8
2015
Sensitivity relations for the Mayer problem with differential inclusions. Zbl 1319.49036
Cannarsa, Piermarco; Frankowska, Hélène; Scarinci, Teresa
6
2015
From pointwise to local regularity for solutions of Hamilton-Jacobi equations. Zbl 1288.35144
Cannarsa, P.; Frankowska, H.
11
2014
Stable representation of convex Hamiltonians. Zbl 1304.49049
Frankowska, Hélène; Sedrakyan, Hayk
6
2014
Discontinuous solutions of Hamilton-Jacobi-Bellman equation under state constraints. Zbl 1263.49025
Frankowska, Hélène; Mazzola, Marco
21
2013
On relations of the adjoint state to the value function for optimal control problems with state constraints. Zbl 1269.49035
Frankowska, Hélène; Mazzola, Marco
20
2013
Pointwise second-order necessary optimality conditions for the Mayer problem with control constraints. Zbl 1285.49013
Frankowska, Hélène; Tonon, Daniela
18
2013
A second-order maximum principle in optimal control under state constraints. Zbl 1324.49017
Frankowska, Hélène; Hoehener, Daniel; Tonon, Daniela
12
2013
Local regularity of the value function in optimal control. Zbl 1280.49056
Cannarsa, P.; Frankowska, H.
11
2013
Inward pointing trajectories, normality of the maximum principle and the non occurrence of the Lavrentieff phenomenon in optimal control under state constraints. Zbl 1281.49016
Frankowska, Hélène; Tonon, Daniela
10
2013
Optimal control for evolution equations with memory. Zbl 1260.49038
Cannarsa, P.; Frankowska, H.; Marchini, E. M.
6
2013
Explicit construction of solutions to the Burgers equation with discontinuous initial-boundary conditions. Zbl 1278.35155
Désilles, Anya; Frankowska, Hélène
1
2013
Special issue on mathematics of traffic flow modeling, estimation and control. Zbl 1323.00072
1
2013
On derivative criteria for metric regularity. Zbl 1281.49007
Dontchev, Asen L.; Frankowska, Hélène
1
2013
Hölder metric regularity of set-valued maps. Zbl 1262.90173
Frankowska, Hélène; Quincampoix, Marc
38
2012
\(L^{\infty }\) estimates on trajectories confined to a closed subset. Zbl 1237.34022
Bettiol, Piernicola; Frankowska, Hélène; Vinter, Richard B.
19
2012
Lyusternik-Graves theorem and fixed points II. Zbl 1264.49016
Dontchev, Asen L.; Frankowska, Hélène
11
2012
Lipschitz regularity of solution map of control systems with multiple state constraints. Zbl 1236.93083
Bettiol, Piernicola; Frankowska, Hélène
4
2012
Lyusternik-Graves theorem and fixed points. Zbl 1211.49023
Dontchev, Asen L.; Frankowska, Hélène
25
2011
Optimal control under state constraints. Zbl 1226.49017
Frankowska, Hélène
5
2011
Invariant measures associated to degenerate elliptic operators. Zbl 1208.60053
Cannarsa, P.; Da Prato, G.; Frankowska, H.
7
2010
Set-valued analysis. Reprint of the 1990 original. Zbl 1168.49014
Aubin, Jean-Pierre; Frankowska, Hélène
77
2009
Existence and Lipschitz regularity of solutions to Bolza problems in optimal control. Zbl 1169.49001
Cannarsa, P.; Frankowska, H.; Marchini, E. M.
7
2009
On Bolza optimal control problems with constraints. Zbl 1161.49016
Cannarsa, Piermarco; Frankowska, Hélène; Marchini, Elsa M.
4
2009
Hölder continuity of adjoint states and optimal controls for state constrained problems. Zbl 1140.49027
Bettiol, Piernicola; Frankowska, Hélène
4
2008
Normality of the maximum principle for nonconvex constrained Bolza problems. Zbl 1161.49021
Bettiol, Piernicola; Frankowska, Hélène
12
2007
Stochastic viability of convex sets. Zbl 1117.60060
Da Prato, Giuseppe; Frankowska, Hélène
11
2007
Regularity of solution maps of differential inclusions under state constraints. Zbl 1126.34011
Bettiol, Piernicola; Frankowska, Hélène
10
2007
Interior sphere property of attainable sets and time optimal control problems. Zbl 1105.93007
Cannarsa, Piermarco; Frankowska, Hélène
24
2006
Regularity of minimizers and of adjoint states in optimal control under state constraints. Zbl 1099.49026
Frankowska, Hélène
11
2006
Lipschitzianity of optimal trajectories for the Bolza optimal control problem. Zbl 1108.49013
Frankowska, H.; Marchini, E. M.
8
2006
A note on the value function for constrained control problems. Zbl 1129.49305
Cernea, Aurelian; Frankowska, Hélène
2
2006
A connection between the maximum principle and dynamic programming for constrained control problems. Zbl 1085.49032
Cernea, Aurelian; Frankowska, Hélène
25
2005
Invariant measure for a class of parabolic degenerate equations. Zbl 1104.60026
Da Prato, Giuseppe; Frankowska, Hélène
2
2005
Optimal synthesis via superdifferentials of value function. Zbl 1167.49320
Frankowska, H.
2
2005
Invariance of closed sets under stochastic control systems. Zbl 1107.93033
Da Prato, Giuseppe; Frankowska, Hélène
1
2005
On singularities of value function for Bolza optimal control problem. Zbl 1067.49023
Frankowska, H.; Ochal, A.
1
2005
Invariance of stochastic control systems with deterministic arguments. Zbl 1066.93049
Da Prato, Giuseppe; Frankowska, Hélène
19
2004
Existence, uniqueness, and regularity of the invariant measure for a class of elliptic degenerate operators. Zbl 1150.60387
Da Prato, Giuseppe; Frankowska, Hélène
1
2004
Autonomous integral functionals with discontinuous nonconvex integrands: Lipschitz regularity of minimizers, BuBois-Reymond necessary conditions, and Hamilton-Jacobi equations. Zbl 1035.49035
Dal Maso, Gianni; Frankowska, Hélène
20
2003
Value function in optimal control. Zbl 1098.49501
Frankowska, Hélène
8
2002
Stochastic viability for compact sets in terms of the distance function. Zbl 1003.60059
Da Prato, Giuseppe; Frankowska, Hélène
12
2001
Existence of neighboring feasible trajectories: applications to dynamic programming for state-constrained optimal control problems. Zbl 1050.49022
Frankowska, H.; Vinter, R. B.
79
2000
Filippov’s and Filippov-Ważewski’s theorems on closed domains. Zbl 0956.34012
Frankowska, Hélène; Rampazzo, Franco
35
2000
Semicontinuous solutions of Hamilton-Jacobi-Bellman equations with degenerate state constraints. Zbl 1056.49026
Frankowska, Hélène; Plaskacz, Sławomir
21
2000
Value functions for Bolza problems with discontinuous Lagrangians and Hamilton-Jacobi inequalities. Zbl 0952.49024
Dal Maso, Gianni; Frankowska, Hélène
15
2000
Optimality conditions and synthesis for the minimum time problem. Zbl 0988.49010
Cannarsa, Piermarco; Frankowska, Hélène; Sinestrari, Carlo
14
2000
Stochastic invariance for differential inclusions. Zbl 0976.49016
Aubin, Jean-Pierre; da Prato, Giuseppe; Frankowska, Hélène
11
2000
Hamilton-Jacobi equations for infinite horizon control problems with state constraints. Zbl 0996.49016
Frankowska, H.; Plaskacz, S.
5
2000
Introduction: Set-valued analysis in control theory. Zbl 0962.49001
Aubin, Jean-Pierre; Frankowska, Hélène
4
2000
Special issue on set-valued analysis in control theory. Zbl 0956.00020
1
2000
Relaxation of control systems under state constraints. Zbl 0924.34059
Frankowska, Hélène; Rampazzo, Franco
4
1999
Dissipative control systems and disturbance attention for nonlinear \(H^\infty\) problems. Zbl 0943.93022
Frankowska, H.; Quincampoix, M.
3
1999
Semicontinuous solutions of Hamilton-Jacobi-Bellman equations with state constraints. Zbl 1096.49520
Frankowska, Hélène; Plaskacz, Sławomir
9
1998
Uniqueness of optimal trajectories and the nonexistence of shocks for Hamilton-Jacobi-Bellman and Riccati partial differential equations. Zbl 1092.35502
Byrnes, Christopher I.; Frankowska, Hélène
2
1998
Relaxing constrained control systems. Zbl 0896.34013
Frankowska, Hélène; Rampazzo, Franco
1
1998
Set-valued solutions to the Cauchy problem for hyperbolic systems of partial differential inclusions. Zbl 0879.35096
Aubin, Jean-Pierre; Frankowska, Halina
8
1997
A measurable upper semicontinuous viability theorem for tubes. Zbl 0838.34017
Frankowska, Hélène; Plaskacz, Sławomir
23
1996
Conjugate points and shocks in nonlinear optimal control. Zbl 0924.49016
Caroff, N.; Frankowska, H.
14
1996
The viability kernel algorithm for computing value functions of infinite horizon optimal control problems. Zbl 0862.65039
Aubin, Jean-Pierre; Frankowska, Hélène
8
1996
Value function and optimality condition for semilinear control problems. II: Parabolic case. Zbl 0862.49021
Cannarsa, P.; Frankowska, H.
5
1996
Measurable viability theorems and the Hamilton-Jacobi-Bellman equation. Zbl 0836.34016
Frankowska, H.; Plaskacz, S.; Rzeżuchowski, T.
55
1995
Partial differential inclusions governing feedback controls. Zbl 0840.93041
Aubin, Jean-Pierre; Frankowska, Hélène
1
1995
A stochastic Filippov theorem. Zbl 0810.60059
da Prato, Guiseppe; Frankowska, H.
23
1994
Lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations. Zbl 0796.49024
Frankowska, Hélène
80
1993
Set-valued approach to Hamilton-Jacobi-Bellman equations. Zbl 0805.49015
Frankowska, H.; Plaskacz, S.; Rzezuchowski, T.
1
1993
Value function and optimality conditions for semilinear control problems. Zbl 0765.49001
Cannarsa, Piermarco; Frankowska, Halina
15
1992
Conical inverse mapping theorems. Zbl 0744.93015
Frankowska, Hélène
12
1992
Optimality and characteristics of Hamilton-Jacobi-Bellman equations. Zbl 0788.93011
Caroff, Nathalie; Frankowska, Hélène
5
1992
Measurable viability theorems and Hamilton-Jacobi- Bellman equation. (Théorèmes de viabilité mesurables et l’équation d’Hamilton- Jacobi-Bellman ine.) Zbl 0760.34020
Frankowska, Hélène; Plaskacz, Sławomir; Rzeżuchowski, Tadeusz
4
1992
Unicité des solutions optimales et absence de chocs pour les équations d’Hamilton-Jacobi-Bellman et de Riccati. (Uniqueness of optimal solutions and the nonexistence of shocks for Hamilton-Jacobi- Bellman and Riccati PDE). Zbl 0777.49021
Byrnes, Christopher; Frankowska, Hélène
2
1992
Isaacs’ equations for value-functions of differential games. Zbl 0770.90093
Frankowska, Hélène; Quincampoix, Marc
1
1992
Some characterizations of optimal trajectories in control theory. Zbl 0744.49011
Cannarsa, Piermarco; Frankowska, Halina
62
1991
Necessary conditions for infinite-dimensional control problems. Zbl 0737.49017
Fattorini, H. O.; Frankowska, H.
20
1991
Viability kernel of control systems. Zbl 0738.93002
Aubin, J.-P.; Frankowska, H.
10
1991
...and 51 more Documents
all top 5

Cited by 1,695 Authors

75 Frankowska, Hélène
35 Cannarsa, Piermarco
28 Quincampoix, Marc
26 Phan Quôc Khánh
20 Aubin, Jean-Pierre
19 Bettiol, Piernicola
18 Anh, Nguyen Le Hoang
18 Vinter, Richard B.
18 Yao, Jen-Chih
16 Mahmudov, Elimhan Nadir
15 Lorenz, Thomas
14 Durea, Marius
14 Penot, Jean-Paul
14 Seeger, Alberto
14 Serea, Oana-Silvia
13 Mordukhovich, Boris S.
12 Zidani, Hasnaa
11 Cardaliaguet, Pierre
11 Cernea, Aurelian
11 Da Prato, Giuseppe
11 Goreac, Dan
11 Nour, Chadi
11 Strugariu, Radu
11 Nguyen Dong Yen
10 Huang, Lihong
10 Ioffe, Alexander Davidovich
9 Anh, Lam Quoc
9 Cârjă, Ovidiu
9 Malabre, Michel
9 Morgan, Jacqueline
9 Motta, Monica
9 Tung, Le Thanh
9 Zhang, Xu
8 Adly, Samir
8 Bokanowski, Olivier
8 De Marco, Giuseppe
8 Donchev, Tzanko Donchev
8 Kien, Bui Trong
8 Kloeden, Peter Eris
8 Mariconda, Carlo
8 Stern, Ronald Jay
8 Veliov, Vladimir M.
8 Zhang, Haisen
8 Zheng, Xiyin
7 Agarwal, Ravi P.
7 Chikriĭ, Arkadiĭ Alekseevich
7 Danca, Marius-Florin
7 Dinh The Luc
7 Geoffroy, Michel H.
7 Lazu, Alina Ilinca
7 Michta, Mariusz
7 Rieger, Janosch
7 Rocca, Matteo
7 Saint-Pierre, Patrick
7 Tung, Nguyen Minh
7 Zhu, Shengkun
6 Buckdahn, Rainer
6 Caraballo Garrido, Tomás
6 Cibulka, Radek
6 Colombo, Giovanni
6 de Pinho, Maria do Rosário
6 Gaydu, Michaël
6 Malinowski, Marek T.
6 Marchini, Elsa Maria
6 Marigonda, Antonio
6 Mazzola, Marco
6 Ng, Kung-Fu
6 Nguyen Thi Toan
6 Nguyen, Luong V.
6 Osmolovskiĭ, Nikolaĭ Pavlovich
6 Papageorgiou, Nikolaos S.
6 Plaskacz, Sławomir
6 Rampazzo, Franco
6 Scarinci, Teresa
6 Takche, Jean
6 Wets, Roger Jean-Baptiste
6 Wolenski, Peter R.
5 Aronna, María Soledad
5 Arutyunov, Aram Vladimirovic
5 Aseev, Sergei M.
5 Basco, Vincenzo
5 Benchohra, Mouffak
5 Bonilla, Moisés E.
5 Bonnans, Joseph Frédéric
5 Cao, Jinde
5 Cesaroni, Annalisa
5 Delfour, Michel Claude
5 Dontchev, Asen L.
5 Duan, Lian
5 Fattorini, Hector O.
5 Flåm, Sjur Didrik
5 Fontes, Fernando A. C. C.
5 Gusev, Mikhail Ivanovich
5 Hilout, Saïd
5 Huong, Vu Thi
5 Huynh Van Ngai
5 Jaulin, Luc
5 Jean-Alexis, Célia
5 Jourani, Abderrahim
5 Kassay, Gábor
...and 1,595 more Authors
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Cited in 311 Serials

125 Journal of Optimization Theory and Applications
99 Journal of Mathematical Analysis and Applications
63 Set-Valued and Variational Analysis
46 Applied Mathematics and Optimization
44 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
42 Mathematical Programming. Series A. Series B
40 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
40 SIAM Journal on Control and Optimization
35 Journal of Differential Equations
35 Optimization
33 Positivity
32 Set-Valued Analysis
29 Journal of Global Optimization
27 Systems & Control Letters
24 Numerical Functional Analysis and Optimization
24 Transactions of the American Mathematical Society
24 Optimization Letters
24 Nonlinear Analysis. Theory, Methods & Applications
22 Proceedings of the American Mathematical Society
20 SIAM Journal on Optimization
19 Journal of Inequalities and Applications
17 Journal of Convex Analysis
16 NoDEA. Nonlinear Differential Equations and Applications
16 Proceedings of the Steklov Institute of Mathematics
15 Stochastic Analysis and Applications
15 Advances in Difference Equations
14 Nonlinear Dynamics
14 Journal of Dynamical and Control Systems
12 Automatica
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Calculus of Variations and Partial Differential Equations
11 Journal of Mathematical Sciences (New York)
11 Mediterranean Journal of Mathematics
10 Kybernetika
10 Computational Optimization and Applications
10 Discrete and Continuous Dynamical Systems
10 European Journal of Control
9 Vietnam Journal of Mathematics
9 International Game Theory Review
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Dynamic Games and Applications
7 Applicable Analysis
7 Bulletin of the Australian Mathematical Society
7 Rendiconti del Circolo Matemàtico di Palermo. Serie II
7 MCSS. Mathematics of Control, Signals, and Systems
7 Cybernetics and Systems Analysis
7 Discrete and Continuous Dynamical Systems. Series B
7 Fixed Point Theory and Applications
7 Journal of Fixed Point Theory and Applications
6 Acta Applicandae Mathematicae
6 Neural Networks
6 Stochastic Processes and their Applications
6 Journal of Mathematical Imaging and Vision
6 Journal of Evolution Equations
6 Mathematical Control and Related Fields
5 International Journal of Control
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 International Journal of Game Theory
5 Results in Mathematics
5 Optimal Control Applications & Methods
5 Annals of Operations Research
5 Communications in Partial Differential Equations
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Computational and Applied Mathematics
5 Filomat
5 Abstract and Applied Analysis
5 RAIRO. Operations Research
5 Central European Journal of Mathematics
5 Nonlinear Analysis. Hybrid Systems
4 Journal of the Franklin Institute
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Applied Mathematics and Computation
4 Acta Mathematicae Applicatae Sinica. English Series
4 Top
4 Bulletin des Sciences Mathématiques
4 Chaos
4 Journal of the Australian Mathematical Society
4 Journal of Systems Science and Complexity
4 Communications on Pure and Applied Analysis
4 Discrete and Continuous Dynamical Systems. Series S
3 Computers & Mathematics with Applications
3 Indian Journal of Pure & Applied Mathematics
3 Mathematical Methods in the Applied Sciences
3 Ukrainian Mathematical Journal
3 Fuzzy Sets and Systems
3 Mathematics of Operations Research
3 Mathematica Slovaca
3 Applied Mathematics and Mechanics. (English Edition)
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Asia-Pacific Journal of Operational Research
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 The Annals of Applied Probability
3 Automation and Remote Control
3 Journal of Dynamics and Differential Equations
3 Russian Mathematics
3 Topological Methods in Nonlinear Analysis
3 Georgian Mathematical Journal
3 Journal of Difference Equations and Applications
3 Mathematical Problems in Engineering
3 Mathematical Population Studies
...and 211 more Serials
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Cited in 50 Fields

900 Calculus of variations and optimal control; optimization (49-XX)
404 Operations research, mathematical programming (90-XX)
324 Systems theory; control (93-XX)
304 Ordinary differential equations (34-XX)
197 Partial differential equations (35-XX)
181 Operator theory (47-XX)
141 Probability theory and stochastic processes (60-XX)
140 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
124 General topology (54-XX)
119 Real functions (26-XX)
82 Numerical analysis (65-XX)
78 Dynamical systems and ergodic theory (37-XX)
74 Functional analysis (46-XX)
50 Biology and other natural sciences (92-XX)
48 Global analysis, analysis on manifolds (58-XX)
43 Measure and integration (28-XX)
20 Computer science (68-XX)
18 Difference and functional equations (39-XX)
18 Convex and discrete geometry (52-XX)
17 Integral equations (45-XX)
17 Mechanics of particles and systems (70-XX)
14 Differential geometry (53-XX)
14 Statistics (62-XX)
10 Information and communication theory, circuits (94-XX)
9 Sequences, series, summability (40-XX)
9 Approximations and expansions (41-XX)
7 Mechanics of deformable solids (74-XX)
7 Fluid mechanics (76-XX)
6 Mathematical logic and foundations (03-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
4 Algebraic geometry (14-XX)
4 Quantum theory (81-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Algebraic topology (55-XX)
3 Manifolds and cell complexes (57-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Nonassociative rings and algebras (17-XX)
2 Functions of a complex variable (30-XX)
2 Special functions (33-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Abstract harmonic analysis (43-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Geophysics (86-XX)
1 Mathematics education (97-XX)

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