×

zbMATH — the first resource for mathematics

Frankowska, Hélène

Compute Distance To:
Author ID: frankowska.helene Recent zbMATH articles by "Frankowska, Hélène"
Published as: Frankowska, H.; Frankowska, Halina; Frankowska, Helene; Frankowska, Hélène
Homepage: https://webusers.imj-prg.fr/~helene.frankowska/
External Links: MGP · Wikidata
Documents Indexed: 172 Publications since 1981, including 3 Books
all top 5

Serials

16 Comptes Rendus de l’Académie des Sciences. Série I
14 SIAM Journal on Control and Optimization
13 Journal of Differential Equations
9 Journal of Mathematical Analysis and Applications
8 Applied Mathematics and Optimization
5 Journal of Optimization Theory and Applications
5 Systems & Control Letters
5 Set-Valued Analysis
4 NoDEA. Nonlinear Differential Equations and Applications
4 Journal of Convex Analysis
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Transactions of the American Mathematical Society
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Calculus of Variations and Partial Differential Equations
2 Annales Polonici Mathematici
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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 Mathematics of Operations Research
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 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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 Modern Birkhäuser Classics

Publications by Year

Citations contained in zbMATH

144 Publications have been cited 2,728 times in 1,922 Documents Cited by Year
Set-valued analysis. Zbl 0713.49021
Aubin, Jean-Pierre; Frankowska, Hélène
1990
Set-valued analysis. Reprint of the 1990 original. Zbl 1168.49014
Aubin, Jean-Pierre; Frankowska, Hélène
81
2009
Lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations. Zbl 0796.49024
Frankowska, Hélène
73
1993
Existence of neighboring feasible trajectories: applications to dynamic programming for state-constrained optimal control problems. Zbl 1050.49022
Frankowska, H.; Vinter, R. B.
69
2000
Some characterizations of optimal trajectories in control theory. Zbl 0744.49011
Cannarsa, Piermarco; Frankowska, Halina
59
1991
Measurable viability theorems and the Hamilton-Jacobi-Bellman equation. Zbl 0836.34016
Frankowska, H.; Plaskacz, S.; Rzeżuchowski, T.
50
1995
A priori estimates for operational differential inclusions. Zbl 0705.34016
Frankowska, Halina
46
1990
Filippov’s and Filippov-Ważewski’s theorems on closed domains. Zbl 0956.34012
Frankowska, Hélène; Rampazzo, Franco
34
2000
Some inverse mapping theorems. Zbl 0727.26014
Frankowska, Hélène
34
1990
Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation. Zbl 0672.49023
Frankowska, Halina
33
1989
An open mapping principle for set-valued maps. Zbl 0643.46034
Frankowska, Halina
30
1987
Hölder metric regularity of set-valued maps. Zbl 1262.90173
Frankowska, Hélène; Quincampoix, Marc
29
2012
The maximum principle for an optimal solution to a differential inclusion with end points constraints. Zbl 0614.49017
Frankowska, Halina
26
1987
Controllability of convex processes. Zbl 0607.49025
Aubin, Jean-Pierre; Frankowska, Halina; Olech, Czesław
25
1986
Interior sphere property of attainable sets and time optimal control problems. Zbl 1105.93007
Cannarsa, Piermarco; Frankowska, Hélène
24
2006
A connection between the maximum principle and dynamic programming for constrained control problems. Zbl 1085.49032
Cernea, Aurelian; Frankowska, Hélène
24
2005
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
23
1989
Lyusternik-Graves theorem and fixed points. Zbl 1211.49023
Dontchev, Asen L.; Frankowska, Hélène
21
2011
Necessary conditions for infinite-dimensional control problems. Zbl 0737.49017
Fattorini, H. O.; Frankowska, H.
21
1991
On inverse function theorems for set-valued maps. Zbl 0643.46033
Aubin, Jean-Pierre; Frankowska, Halina
21
1987
Discontinuous solutions of Hamilton-Jacobi-Bellman equation under state constraints. Zbl 1263.49025
Frankowska, Hélène; Mazzola, Marco
20
2013
Semicontinuous solutions of Hamilton-Jacobi-Bellman equations with degenerate state constraints. Zbl 1056.49026
Frankowska, Hélène; Plaskacz, Sławomir
20
2000
Local controllability and infinitesimal generators of semigroups of set- valued maps. Zbl 0625.49015
Frankowska, Halina
20
1987
On relations of the adjoint state to the value function for optimal control problems with state constraints. Zbl 1269.49035
Frankowska, Hélène; Mazzola, Marco
19
2013
\(L^{\infty }\) estimates on trajectories confined to a closed subset. Zbl 1237.34022
Bettiol, Piernicola; Frankowska, Hélène; Vinter, Richard B.
19
2012
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
18
2003
Invariance of stochastic control systems with deterministic arguments. Zbl 1066.93049
Da Prato, Giuseppe; Frankowska, Hélène
17
2004
Pointwise second-order necessary optimality conditions for the Mayer problem with control constraints. Zbl 1285.49013
Frankowska, Hélène; Tonon, Daniela
16
2013
Viability kernel of control systems. Zbl 0738.93002
Aubin, J.-P.; Frankowska, H.
16
1991
Controllability and observability of control systems under uncertainty. Zbl 0745.93004
Aubin, Jean-Pierre; Frankowska, Halina
16
1990
Hamilton-Jacobi equations: Viscosity solutions and generalized gradients. Zbl 0727.35028
Frankowska, Hélène
15
1989
Value functions for Bolza problems with discontinuous Lagrangians and Hamilton-Jacobi inequalities. Zbl 0952.49024
Dal Maso, Gianni; Frankowska, Hélène
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
Optimality conditions and synthesis for the minimum time problem. Zbl 0988.49010
Cannarsa, Piermarco; Frankowska, Hélène; Sinestrari, Carlo
13
2000
Value function and optimality conditions for semilinear control problems. Zbl 0765.49001
Cannarsa, Piermarco; Frankowska, Halina
13
1992
High order inverse function theorems. Zbl 0701.49040
Frankowska, H.
13
1989
Stochastic viability for compact sets in terms of the distance function. Zbl 1003.60059
Da Prato, Giuseppe; Frankowska, Hélène
12
2001
Conical inverse mapping theorems. Zbl 0744.93015
Frankowska, Hélène
12
1992
Local controllability of control systems with feedback. Zbl 0633.93013
Frankowska, H.
12
1989
A viability approach to the Skorohod problem. Zbl 0601.60059
Frankowska, Halina
12
1985
Improved sensitivity relations in state constrained optimal control. Zbl 1317.49035
Bettiol, Piernicola; Frankowska, Hélène; Vinter, Richard B.
11
2015
Normality of the maximum principle for nonconvex constrained Bolza problems. Zbl 1161.49021
Bettiol, Piernicola; Frankowska, Hélène
11
2007
Regularity of minimizers and of adjoint states in optimal control under state constraints. Zbl 1099.49026
Frankowska, Hélène
11
2006
Stochastic invariance for differential inclusions. Zbl 0976.49016
Aubin, Jean-Pierre; da Prato, Giuseppe; Frankowska, Hélène
11
2000
Normality and nondegeneracy for optimal control problems with state constraints. Zbl 1322.49035
Fontes, Fernando A. C. C.; Frankowska, Hélène
10
2015
A second-order maximum principle in optimal control under state constraints. Zbl 1324.49017
Frankowska, Hélène; Hoehener, Daniel; Tonon, Daniela
10
2013
Stochastic viability of convex sets. Zbl 1117.60060
Da Prato, Giuseppe; Frankowska, Hélène
10
2007
Regularity of solution maps of differential inclusions under state constraints. Zbl 1126.34011
Bettiol, Piernicola; Frankowska, Hélène
10
2007
Set-valued solutions to the Cauchy problem for hyperbolic systems of partial differential inclusions. Zbl 0879.35096
Aubin, Jean-Pierre; Frankowska, Halina
10
1997
Inclusions adjointes associées aux trajectoires mimimales d’inclusions différentielles. Zbl 0532.49024
Frankowska, Halina
10
1983
Lyusternik-Graves theorem and fixed points II. Zbl 1264.49016
Dontchev, Asen L.; Frankowska, Hélène
9
2012
Semicontinuous solutions of Hamilton-Jacobi-Bellman equations with state constraints. Zbl 1096.49520
Frankowska, Hélène; Plaskacz, Sławomir
9
1998
Poincaré’s recurrence theorem for set-valued dynamical systems. Zbl 0760.54026
Aubin, Jean-Pierre; Frankowska, Hélène; Lasota, Andrzej
9
1991
Linearization and boundary trajectories of nonsmooth control systems. Zbl 0651.49016
Frankowska, H.; Ka\`skosz, B.
9
1989
The first order necessary conditions for nonsmooth variational and control problems. Zbl 0529.49011
Frankowska, Halina
9
1984
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
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
Local regularity of the minimum time function. Zbl 1311.49094
Frankowska, Hélène; Nguyen, Luong V.
8
2015
From pointwise to local regularity for solutions of Hamilton-Jacobi equations. Zbl 1288.35144
Cannarsa, P.; Frankowska, H.
8
2014
Local regularity of the value function in optimal control. Zbl 1280.49056
Cannarsa, P.; Frankowska, H.
8
2013
Lipschitzianity of optimal trajectories for the Bolza optimal control problem. Zbl 1108.49013
Frankowska, H.; Marchini, E. M.
8
2006
Introduction: Set-valued analysis in control theory. Zbl 0962.49001
Aubin, Jean-Pierre; Frankowska, Hélène
8
2000
The viability kernel algorithm for computing value functions of infinite horizon optimal control problems. Zbl 0862.65039
Aubin, Jean-Pierre; Frankowska, Hélène
8
1996
Équations d’Hamilton-Jacobi contingents. (Contingent Hamilton-Jacobi equation). Zbl 0612.49023
Frankowska, Halina
8
1987
First and second order necessary conditions for stochastic optimal controls. Zbl 1352.93100
Frankowska, Hélène; Zhang, Haisen; Zhang, Xu
7
2017
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
7
2013
Invariant measures associated to degenerate elliptic operators. Zbl 1208.60053
Cannarsa, P.; Da Prato, G.; Frankowska, H.
7
2010
Hyperbolic systems of partial differential inclusions. Zbl 0754.49005
Aubin, Jean-Pierre; Frankowska, Hélène
7
1991
R-convexity of the integral of set-valued functions. Zbl 0547.28007
Frankowska, Halina; Olech, Czesław
7
1981
Strong local minimizers in optimal control problems with state constraints: second-order necessary conditions. Zbl 1393.49016
Frankowska, Hélène; Osmolovskii, Nikolai P.
6
2018
Existence and Lipschitz regularity of solutions to Bolza problems in optimal control. Zbl 1169.49001
Cannarsa, P.; Frankowska, H.; Marchini, E. M.
6
2009
Hamilton-Jacobi equations for infinite horizon control problems with state constraints. Zbl 0996.49016
Frankowska, H.; Plaskacz, S.
6
2000
Value function and optimality condition for semilinear control problems. II: Parabolic case. Zbl 0862.49021
Cannarsa, P.; Frankowska, H.
6
1996
A maximum principle for differential inclusion problems with state constraints. Zbl 0676.49019
Frankowska, Halina; Kaśkosz, Barbara
6
1988
Necessary conditions for the Bolza problem. Zbl 0589.49011
Frankowska, Halina
6
1985
A relaxation result for state constrained inclusions in infinite dimension. Zbl 1348.34111
Frankowska, Helene; Marchini, Elsa Maria; Mazzola, Marco
5
2016
Sensitivity relations for the Mayer problem with differential inclusions. Zbl 1319.49036
Cannarsa, Piermarco; Frankowska, Hélène; Scarinci, Teresa
5
2015
Stable representation of convex Hamiltonians. Zbl 1304.49049
Frankowska, Hélène; Sedrakyan, Hayk
5
2014
Value function in optimal control. Zbl 1098.49501
Frankowska, Hélène
5
2002
Optimality and characteristics of Hamilton-Jacobi-Bellman equations. Zbl 0788.93011
Caroff, Nathalie; Frankowska, Hélène
5
1992
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
5
1991
Adjoint differential inclusions in necessary conditions for the minimal trajectories of differential inclusions. Zbl 0576.49013
Frankowska, H.
5
1985
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.
4
2019
Value function, relaxation, and transversality conditions in infinite horizon optimal control. Zbl 1376.49016
Cannarsa, P.; Frankowska, H.
4
2018
Optimal control for evolution equations with memory. Zbl 1260.49038
Cannarsa, P.; Frankowska, H.; Marchini, E. M.
4
2013
Lipschitz regularity of solution map of control systems with multiple state constraints. Zbl 1236.93083
Bettiol, Piernicola; Frankowska, Hélène
4
2012
Optimal control under state constraints. Zbl 1226.49017
Frankowska, Hélène
4
2011
Relaxation of control systems under state constraints. Zbl 0924.34059
Frankowska, Hélène; Rampazzo, Franco
4
1999
Measurable viability theorems and Hamilton-Jacobi- Bellman equation. Zbl 0760.34020
Frankowska, Hélène; Plaskacz, Sławomir; Rzeżuchowski, Tadeusz
4
1992
Inclusions aux dérivées partielles gouvernant des contrôles de rétroaction. (Partial differential inclusions governing feedback controls). Zbl 0722.93034
Aubin, Jean-Pierre; Frankowska, Hélène
4
1990
Set-valued analysis and some control problems. Zbl 0702.49013
Frankowska, Halina
4
1989
Stochastic optimal control problems with control and initial-final states constraints. Zbl 1391.93294
Frankowska, Hélène; Zhang, Haisen; Zhang, Xu
3
2018
Pointwise second-order necessary optimality conditions and second-order sensitivity relations in optimal control. Zbl 1373.49023
Frankowska, Hélène; Hoehener, Daniel
3
2017
On Bolza optimal control problems with constraints. Zbl 1161.49016
Cannarsa, Piermarco; Frankowska, Hélène; Marchini, Elsa M.
3
2009
Hölder continuity of adjoint states and optimal controls for state constrained problems. Zbl 1140.49027
Bettiol, Piernicola; Frankowska, Hélène
3
2008
Invariant measure for a class of parabolic degenerate equations. Zbl 1104.60026
Da Prato, Giuseppe; Frankowska, Hélène
3
2005
Dissipative control systems and disturbance attention for nonlinear \(H^\infty\) problems. Zbl 0943.93022
Frankowska, H.; Quincampoix, M.
3
1999
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.
4
2019
Necessary optimality conditions for local minimizers of stochastic optimal control problems with state constraints. Zbl 1417.93335
Frankowska, Hélène; Zhang, Haisen; Zhang, Xu
2
2019
Hamilton-Jacobi-Bellman equations with time-measurable data and infinite horizon. Zbl 1409.49006
Basco, V.; Frankowska, H.
2
2019
Lipschitz continuity of the value function for the infinite horizon optimal control problem under state constraints. Zbl 1427.49011
Basco, Vincenzo; Frankowska, Hélène
1
2019
Viability of an open set for stochastic control systems. Zbl 07107474
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.
6
2018
Value function, relaxation, and transversality conditions in infinite horizon optimal control. Zbl 1376.49016
Cannarsa, P.; Frankowska, H.
4
2018
Stochastic optimal control problems with control and initial-final states constraints. Zbl 1391.93294
Frankowska, Hélène; Zhang, Haisen; Zhang, Xu
3
2018
Necessary conditions for infinite horizon optimal control problems with state constraints. Zbl 1422.49022
Basco, Vincenzo; Cannarsa, Piermarco; Frankowska, Hélène
1
2018
Necessary optimality conditions for infinite dimensional state constrained control problems. Zbl 1390.49025
Frankowska, H.; Marchini, E. M.; Mazzola, M.
1
2018
Invariance for quasi-dissipative systems in Banach spaces. Zbl 06790532
Cannarsa, P.; Da Prato, G.; Frankowska, H.
1
2018
First and second order necessary conditions for stochastic optimal controls. Zbl 1352.93100
Frankowska, Hélène; Zhang, Haisen; Zhang, Xu
7
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
Improved sensitivity relations in state constrained optimal control. Zbl 1317.49035
Bettiol, Piernicola; Frankowska, Hélène; Vinter, Richard B.
11
2015
Normality and nondegeneracy for optimal control problems with state constraints. Zbl 1322.49035
Fontes, Fernando A. C. C.; Frankowska, Hélène
10
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
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
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
5
2015
From pointwise to local regularity for solutions of Hamilton-Jacobi equations. Zbl 1288.35144
Cannarsa, P.; Frankowska, H.
8
2014
Stable representation of convex Hamiltonians. Zbl 1304.49049
Frankowska, Hélène; Sedrakyan, Hayk
5
2014
Discontinuous solutions of Hamilton-Jacobi-Bellman equation under state constraints. Zbl 1263.49025
Frankowska, Hélène; Mazzola, Marco
20
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
19
2013
Pointwise second-order necessary optimality conditions for the Mayer problem with control constraints. Zbl 1285.49013
Frankowska, Hélène; Tonon, Daniela
16
2013
A second-order maximum principle in optimal control under state constraints. Zbl 1324.49017
Frankowska, Hélène; Hoehener, Daniel; Tonon, Daniela
10
2013
Local regularity of the value function in optimal control. Zbl 1280.49056
Cannarsa, P.; Frankowska, H.
8
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
7
2013
Optimal control for evolution equations with memory. Zbl 1260.49038
Cannarsa, P.; Frankowska, H.; Marchini, E. M.
4
2013
Special issue on mathematics of traffic flow modeling, estimation and control. Zbl 1323.00072
Bayen, Alexandre M. (ed.); Frankowska, Hélène (ed.); Lebacque, Jean-Patrick (ed.); Piccoli, Benedetto (ed.); Zhang, H. Michael (ed.)
1
2013
Explicit construction of solutions to the Burgers equation with discontinuous initial-boundary conditions. Zbl 1278.35155
Désilles, Anya; Frankowska, Hélène
1
2013
Hölder metric regularity of set-valued maps. Zbl 1262.90173
Frankowska, Hélène; Quincampoix, Marc
29
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
9
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
21
2011
Optimal control under state constraints. Zbl 1226.49017
Frankowska, Hélène
4
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
81
2009
Existence and Lipschitz regularity of solutions to Bolza problems in optimal control. Zbl 1169.49001
Cannarsa, P.; Frankowska, H.; Marchini, E. M.
6
2009
On Bolza optimal control problems with constraints. Zbl 1161.49016
Cannarsa, Piermarco; Frankowska, Hélène; Marchini, Elsa M.
3
2009
Hölder continuity of adjoint states and optimal controls for state constrained problems. Zbl 1140.49027
Bettiol, Piernicola; Frankowska, Hélène
3
2008
Normality of the maximum principle for nonconvex constrained Bolza problems. Zbl 1161.49021
Bettiol, Piernicola; Frankowska, Hélène
11
2007
Stochastic viability of convex sets. Zbl 1117.60060
Da Prato, Giuseppe; Frankowska, Hélène
10
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
24
2005
Invariant measure for a class of parabolic degenerate equations. Zbl 1104.60026
Da Prato, Giuseppe; Frankowska, Hélène
3
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
17
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
18
2003
Value function in optimal control. Zbl 1098.49501
Frankowska, Hélène
5
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.
69
2000
Filippov’s and Filippov-Ważewski’s theorems on closed domains. Zbl 0956.34012
Frankowska, Hélène; Rampazzo, Franco
34
2000
Semicontinuous solutions of Hamilton-Jacobi-Bellman equations with degenerate state constraints. Zbl 1056.49026
Frankowska, Hélène; Plaskacz, Sławomir
20
2000
Value functions for Bolza problems with discontinuous Lagrangians and Hamilton-Jacobi inequalities. Zbl 0952.49024
Dal Maso, Gianni; Frankowska, Hélène
14
2000
Optimality conditions and synthesis for the minimum time problem. Zbl 0988.49010
Cannarsa, Piermarco; Frankowska, Hélène; Sinestrari, Carlo
13
2000
Stochastic invariance for differential inclusions. Zbl 0976.49016
Aubin, Jean-Pierre; da Prato, Giuseppe; Frankowska, Hélène
11
2000
Introduction: Set-valued analysis in control theory. Zbl 0962.49001
Aubin, Jean-Pierre; Frankowska, Hélène
8
2000
Hamilton-Jacobi equations for infinite horizon control problems with state constraints. Zbl 0996.49016
Frankowska, H.; Plaskacz, S.
6
2000
Special issue on set-valued analysis in control theory. Zbl 0956.00020
Aubin, Jean-Pierre (ed.); Frankowska, Hélène (ed.)
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
10
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.
6
1996
Measurable viability theorems and the Hamilton-Jacobi-Bellman equation. Zbl 0836.34016
Frankowska, H.; Plaskacz, S.; Rzeżuchowski, T.
50
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
73
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
13
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. 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
59
1991
Necessary conditions for infinite-dimensional control problems. Zbl 0737.49017
Fattorini, H. O.; Frankowska, H.
21
1991
Viability kernel of control systems. Zbl 0738.93002
Aubin, J.-P.; Frankowska, H.
16
1991
Poincaré’s recurrence theorem for set-valued dynamical systems. Zbl 0760.54026
Aubin, Jean-Pierre; Frankowska, Hélène; Lasota, Andrzej
9
1991
Hyperbolic systems of partial differential inclusions. Zbl 0754.49005
Aubin, Jean-Pierre; Frankowska, Hélène
7
1991
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
5
1991
Systèmes hyperboliques d’inclusions aux dérivées partielles. (Hyperbolic systems of partial differential inclusions). Zbl 0722.35052
Aubin, Jean-Pierre; Frankowska, Hélène
3
1991
Feedback controls for uncertain systems. Zbl 0734.93052
Aubin, J.-P.; Frankowska, H.
2
1991
Infinite dimensional control problems with state constraints. Zbl 0744.49012
Fattorini, H. O.; Frankowska, H.
1
1991
Set-valued analysis. Zbl 0713.49021
Aubin, Jean-Pierre; Frankowska, Hélène
1990
A priori estimates for operational differential inclusions. Zbl 0705.34016
Frankowska, Halina
46
1990
...and 44 more Documents
all top 5

Cited by 1,996 Authors

65 Frankowska, Hélène
34 Cannarsa, Piermarco
27 Phan Quôc Khánh
27 Quincampoix, Marc
21 Penot, Jean-Paul
20 Aubin, Jean-Pierre
19 Huang, Lihong
18 Vinter, Richard B.
17 Bettiol, Piernicola
17 Durea, Marius
17 Rodriguez Marin, Luis
15 Anh, Nguyen Le Hoang
15 Sama, Miguel
15 Seeger, Alberto
14 Lorenz, Thomas
14 Mahmudov, Elimhan N.
14 Mordukhovich, Boris S.
14 Yao, Jen-Chih
13 Geoffroy, Michel H.
13 Morgan, Jacqueline
12 Cernea, Aurelian
12 Danca, Marius-Florin
12 Serea, Oana-Silvia
11 Cardaliaguet, Pierre
11 Da Prato, Giuseppe
11 Ioffe, Alexander Davidovich
11 Nour, Chadi
11 Zidani, Hasnaa
10 Anh, Lam Quoc
10 Cai, Zuowei
10 Cârjă, Ovidiu
10 Goreac, Dan
10 Malinowski, Marek T.
10 Strugariu, Radu
10 Veliov, Vladimir M.
9 Beg, Ismat
9 De Marco, Giuseppe
9 Li, Shengjie
9 Malabre, Michel
9 Michta, Mariusz
9 Ouahab, Abdelghani
8 Adly, Samir
8 Cao, Jinde
8 Cubiotti, Paolo
8 Donchev, Tzanko Donchev
8 Flåm, Sjur Didrik
8 Hilout, Saïd
8 Kien, Bui Trong
8 Kloeden, Peter Eris
8 Rieger, Janosch
8 Stern, Ronald Jay
8 Tung, Le Thanh
8 Valero, José
8 Nguyen Dong Yen
8 Zhang, Xu
7 Abbas, Mujahid
7 Bokanowski, Olivier
7 Buckdahn, Rainer
7 Chuong, Thai Doan
7 Dinh The Luc
7 Dontchev, Asen L.
7 Jourani, Abdeljalil
7 Kalita, Piotr
7 Lazu, Alina Ilinca
7 Lee, Gue Myung
7 Li, Shoumei
7 Mazzola, Marco
7 Plaskacz, Sławomir
7 Repovš, Dušan D.
7 Rocca, Matteo
7 Saint-Pierre, Patrick
7 Xu, Huifu
7 Zhang, Haisen
7 Zheng, Xiyin
6 Agarwal, Ravi P.
6 Bartosz, Krzysztof
6 Benchohra, Mouffak
6 Caraballo Garrido, Tomás
6 Chalco-Cano, Yurilev
6 Colombo, Giovanni
6 Gaydu, Michaël
6 He, Qinghai
6 Hermosilla, Cristopher
6 Huynh Van Ngai
6 Jimenez Guerra, Pedro
6 Kryszewski, Wojciech
6 Langa, Jose’ Antonio
6 Marchini, Elsa Maria
6 Motta, Monica
6 Muñoz-Bouzo, María José
6 Ng, Kung-Fu
6 Nguyen, Luong V.
6 Osmolovskiĭ, Nikolaĭ Pavlovich
6 Páles, Zsolt
6 Papageorgiou, Nikolaos S.
6 Peng, Zhenhua
6 Petruşel, Adrian
6 Piétrus, Alain
6 Rampazzo, Franco
6 Takche, Jean
...and 1,896 more Authors
all top 5

Cited in 297 Serials

226 Journal of Mathematical Analysis and Applications
117 Journal of Optimization Theory and Applications
111 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
52 Set-Valued and Variational Analysis
45 Journal of Differential Equations
39 Systems & Control Letters
39 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
39 Nonlinear Analysis. Theory, Methods & Applications
38 Applied Mathematics and Optimization
38 Mathematical Programming. Series A. Series B
33 SIAM Journal on Control and Optimization
33 Optimization
33 Set-Valued Analysis
27 Journal of Global Optimization
25 Computers & Mathematics with Applications
24 Transactions of the American Mathematical Society
24 Positivity
22 Fuzzy Sets and Systems
22 Numerical Functional Analysis and Optimization
21 Automatica
20 Proceedings of the American Mathematical Society
19 Optimization Letters
18 SIAM Journal on Optimization
16 NoDEA. Nonlinear Differential Equations and Applications
16 Journal of Inequalities and Applications
15 Stochastic Analysis and Applications
15 Neural Networks
15 Proceedings of the Steklov Institute of Mathematics
14 Nonlinear Dynamics
14 Journal of Dynamical and Control Systems
14 Advances in Difference Equations
12 Applied Mathematics and Computation
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 Calculus of Variations and Partial Differential Equations
11 Journal of Mathematical Sciences (New York)
10 Journal of Mathematical Economics
10 Kybernetika
10 Applied Mathematics Letters
10 European Journal of Control
10 Discrete and Continuous Dynamical Systems. Series B
10 Mediterranean Journal of Mathematics
9 Stochastic Processes and their Applications
9 Computational Optimization and Applications
9 Discrete and Continuous Dynamical Systems
8 Journal of the Franklin Institute
8 Journal of Computational and Applied Mathematics
8 Topology and its Applications
8 Journal of Convex Analysis
8 Vietnam Journal of Mathematics
8 International Game Theory Review
8 Nonlinear Analysis. Real World Applications
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Nonlinear Analysis. Hybrid Systems
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 Abstract and Applied Analysis
7 Fixed Point Theory and Applications
7 Dynamic Games and Applications
6 Chaos, Solitons and Fractals
6 Information Sciences
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Journal of Mathematical Imaging and Vision
6 Bulletin des Sciences Mathématiques
6 Chaos
6 Mathematical Control and Related Fields
5 Applicable Analysis
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 International Journal of Game Theory
5 Optimal Control Applications & Methods
5 Annals of Operations Research
5 Applied Mathematical Modelling
5 European Journal of Operational Research
5 RAIRO. Operations Research
5 Journal of Evolution Equations
5 Central European Journal of Mathematics
5 Journal of Fixed Point Theory and Applications
4 International Journal of Control
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Journal of Economic Theory
4 Journal of Functional Analysis
4 Results in Mathematics
4 Applied Mathematics and Mechanics. (English Edition)
4 Acta Applicandae Mathematicae
4 Acta Mathematicae Applicatae Sinica. English Series
4 Communications in Partial Differential Equations
4 Top
4 Mathematical Methods of Operations Research
4 Journal of Systems Science and Complexity
4 Discrete and Continuous Dynamical Systems. Series S
3 Indian Journal of Pure & Applied Mathematics
3 Mathematical Biosciences
3 Mathematical Methods in the Applied Sciences
3 Ukrainian Mathematical Journal
3 Mathematica Slovaca
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Mathematical and Computer Modelling
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 Games and Economic Behavior
...and 197 more Serials
all top 5

Cited in 49 Fields

961 Calculus of variations and optimal control; optimization (49-XX)
420 Operations research, mathematical programming (90-XX)
352 Systems theory; control (93-XX)
341 Ordinary differential equations (34-XX)
249 Operator theory (47-XX)
192 Partial differential equations (35-XX)
161 General topology (54-XX)
158 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
147 Probability theory and stochastic processes (60-XX)
129 Real functions (26-XX)
97 Functional analysis (46-XX)
96 Numerical analysis (65-XX)
89 Dynamical systems and ergodic theory (37-XX)
68 Biology and other natural sciences (92-XX)
55 Measure and integration (28-XX)
54 Global analysis, analysis on manifolds (58-XX)
28 Convex and discrete geometry (52-XX)
27 Computer science (68-XX)
20 Difference and functional equations (39-XX)
20 Mechanics of particles and systems (70-XX)
16 Statistics (62-XX)
14 Mathematical logic and foundations (03-XX)
14 Approximations and expansions (41-XX)
13 Integral equations (45-XX)
13 Differential geometry (53-XX)
13 Mechanics of deformable solids (74-XX)
12 Fluid mechanics (76-XX)
12 Information and communication theory, circuits (94-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
6 Sequences, series, summability (40-XX)
6 Algebraic topology (55-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
4 Algebraic geometry (14-XX)
4 Manifolds and cell complexes (57-XX)
4 Quantum theory (81-XX)
3 Combinatorics (05-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 General and overarching topics; collections (00-XX)
2 Nonassociative rings and algebras (17-XX)
2 Special functions (33-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral transforms, operational calculus (44-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Geometry (51-XX)
1 Geophysics (86-XX)
1 Mathematics education (97-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.