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1

A Relaxation Result for State Constrained Delay Differential Inclusions

Frankowska, Helene, Haidar, Ihab

Journal:

IEEE Transactions on Automatic Control

Year:

2018

Language:

english

File:

PDF, 1.59 MB

english, 2018

2

Foreword: Special issue on “Convex Analysis and Optimization: New Trends in Theory and Applications”

Barbagallo, Annamaria, Frankowska, Hélène, Moscariello, Gioconda

Journal:

Journal of Mathematical Analysis and Applications

Year:

2018

Language:

english

File:

PDF, 136 KB

english, 2018

3

Strong Local Minimizers in Optimal Control Problems with State Constraints: Second-Order Necessary Conditions

Frankowska, Hélène, Osmolovskii, Nikolai P.

Journal:

SIAM Journal on Control and Optimization

Year:

2018

Language:

english

File:

PDF, 424 KB

english, 2018

4

Stochastic Optimal Control Problems with Control and Initial-Final States Constraints

Frankowska, Hélène, Zhang, Haisen, Zhang, Xu

Journal:

SIAM Journal on Control and Optimization

Year:

2018

Language:

english

File:

PDF, 357 KB

english, 2018

5

Discontinuous solutions of Hamilton–Jacobi–Bellman equation under state constraints

Frankowska, Hélène, Mazzola, Marco

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2013

Language:

english

File:

PDF, 359 KB

english, 2013

6

The Viability Kernel Algorithm for Computing Value Functions of Infinite Horizon Optimal Control Problems

Jean-Pierre Aubin, Hélène Frankowska

Journal:

Journal of Mathematical Analysis and Applications

Year:

1996

Language:

english

File:

PDF, 222 KB

english, 1996

7

THE DIAGNOSIS OF SMALL-POX.

Frankowska, Hélène, Sedrakyan, Hayk

Journal:

Year:

1903

Language:

english

File:

PDF, 175 KB

english, 1903

8

Lyusternik-Graves theorem and fixed points

Dontchev, Asen L., Frankowska, Hélène

Journal:

Proceedings of the American Mathematical Society

Year:

2011

Language:

english

File:

PDF, 409 KB

english, 2011

9

A note on the value function for constrained control problems

Aurelian Cernea, Hélène Frankowska

Journal:

Systems & Control Letters

Year:

2006

Language:

english

File:

PDF, 204 KB

english, 2006

10

Semiconcavity results and sensitivity relations for the sub-Riemannian distance

Basco, Vincenzo, Cannarsa, Piermarco, Frankowska, Hélène

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2019

Language:

english

File:

PDF, 836 KB

english, 2019

11

The Poincaré-Miranda theorem and Viability condition

Frankowska, Hélène

Journal:

Journal of Mathematical Analysis and Applications

Year:

2018

Language:

english

File:

PDF, 260 KB

english, 2018

12

Set-Valued Analysis || Continuity of Set-Valued Maps

Aubin, Jean-Pierre, Frankowska, Hélène

Year:

2009

File:

PDF, 5.07 MB

2009

13

Pointwise Second-Order Necessary Optimality Conditions for the Mayer Problem with Control Constraints

Frankowska, Hélène, Tonon, Daniela

Journal:

SIAM Journal on Control and Optimization

Year:

2013

Language:

english

File:

PDF, 355 KB

english, 2013

14

Hamilton-Jacobi equations: Viscosity solutions and generalized gradients

Hélène Frankowska

Journal:

Journal of Mathematical Analysis and Applications

Year:

1989

Language:

english

File:

PDF, 248 KB

english, 1989

15

Stochastic Invariance for Differential Inclusions

Jean-Pierre Aubin, Giuseppe Da Prato, Hélène Frankowska

Journal:

Set-Valued and Variational Analysis

Year:

2000

Language:

english

File:

PDF, 125 KB

english, 2000

16

Lower Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations

Frankowska, Hélène

Journal:

SIAM Journal on Control and Optimization

Year:

1993

Language:

english

File:

PDF, 1.49 MB

english, 1993

17

First and second order necessary optimality conditions for controlled stochastic evolution equations with control and state constraints

Frankowska, Hélène, Lü, Qi

Journal:

Journal of Differential Equations

Year:

2019

Language:

english

File:

PDF, 2.81 MB

english, 2019

18

Normality of the maximum principle for nonconvex constrained Bolza problems

Piernicola Bettiol, Hélène Frankowska

Journal:

Journal of Differential Equations

Year:

2007

Language:

english

File:

PDF, 164 KB

english, 2007

19

Stable representation of convex Hamiltonians

Frankowska, Hélène, Sedrakyan, Hayk

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2014

Language:

english

File:

PDF, 445 KB

english, 2014

20

Hölder metric regularity of set-valued maps

Hélène Frankowska, Marc Quincampoix

Journal:

Mathematical Programming

Year:

2012

Language:

english

File:

PDF, 267 KB

english, 2012

21

Necessary Optimality Conditions for Weak Local Minima in Stochastic Control**The first author is partially supported by the Gaspard Monge Program for Optimisation(PGMO); the second author is partially supported by NSF of China under grants 11401404 and 11471231 and the fundamental research funds for the central universities under grants SWU114074 and XDJK2015C142; the third author is partially supported by NSF of China under grant 11231007, and by the Chang Jiang Scholars Program from Chinese Education Ministry.

Frankowska, Helene, Zhang, Haisen, Zhang, Xu

Journal:

IFAC-PapersOnLine

Year:

2016

Language:

english

File:

PDF, 504 KB

english, 2016

22

Viable trajectories for nonconvex differential inclusions with constant delay

Frankowska, Hélène, Haidar, Ihab

Journal:

IFAC-PapersOnLine

Year:

2018

Language:

english

File:

PDF, 436 KB

english, 2018

23

Hölder Continuity of Adjoint States and Optimal Controls for State Constrained Problems

Piernicola Bettiol, Hélène Frankowska

Journal:

Applied Mathematics & Optimization

Year:

2008

Language:

english

File:

PDF, 503 KB

english, 2008

24

On Bolza optimal control problems with constraints

Marchini, Elsa, Frankowska, Hélène, Cannarsa, Piermarco

Journal:

Discrete and Continuous Dynamical Systems - Series B

Year:

2009

Language:

english

File:

PDF, 310 KB

english, 2009

25

Set-Valued Analysis || Epiderivatives of Extended Function

Aubin, Jean-Pierre, Frankowska, Hélène

Year:

2009

File:

PDF, 4.78 MB

2009

26

Stochastic viability of convex sets

Giuseppe Da Prato, Hélène Frankowska

Journal:

Journal of Mathematical Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 164 KB

english, 2007

27

[IEEE 2019 IEEE 58th Conference on Decision and Control (CDC) - Nice, France (2019.12.11-2019.12.13)] 2019 IEEE 58th Conference on Decision and Control (CDC) - On Second-Order Necessary Conditions in Optimal Control of Problems with Mixed Final Point Constraints

Frankowska, Helene

Year:

2019

File:

PDF, 306 KB

2019

28

Set-Valued Analysis || Measurability and Integration of Set-Valued Maps

Aubin, Jean-Pierre, Frankowska, Hélène

Year:

2009

File:

PDF, 6.50 MB

2009

29

Conical inverse mapping theorems

Frankowska, Hélène

Journal:

Bulletin of the Australian Mathematical Society

Year:

1992

Language:

english

File:

PDF, 278 KB

english, 1992

30

Some inverse mapping theorems

Frankowska, Hélène

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

1990

Language:

english

File:

PDF, 696 KB

english, 1990

31

Conditional visuo-motor learning and dimension reduction

Fadila Hadj-Bouziane, Hélène Frankowska, Martine Meunier, Pierre-Arnaud Coquelin, Driss Boussaoud

Journal:

Cognitive Processing

Year:

2006

Language:

english

File:

PDF, 429 KB

english, 2006

32

Set-Valued Analysis || Graphical & Epigraphical Convergence

Aubin, Jean-Pierre, Frankowska, Hélène

Year:

2009

File:

PDF, 5.20 MB

2009

33

[IEEE 2014 IEEE 53rd Annual Conference on Decision and Control (CDC) - Los Angeles, CA, USA (2014.12.15-2014.12.17)] 53rd IEEE Conference on Decision and Control - Sensitivity relations for the Mayer problem of optimal control

Cannarsa, Piermarco, Frankowska, Helene, Scarinci, Teresa

Year:

2014

Language:

english

File:

PDF, 185 KB

english, 2014

34

[IEEE 2017 American Control Conference (ACC) - Seattle, WA, USA (2017.5.24-2017.5.26)] 2017 American Control Conference (ACC) - Infinite horizon optimal control: Transversality conditions and sensitivity relations

Cannarsa, Piermarco, Frankowska, Helene

Year:

2017

Language:

english

File:

PDF, 275 KB

english, 2017

35

Distance estimates for state constrained trajectories of infinite dimensional differential inclusions

Frankowska, Helene, Marchini, Elsa M., Mazzola, Marco

Journal:

ESAIM Control Optimisation and Calculus of Variations

Year:

2018

Language:

english

File:

PDF, 518 KB

english, 2018

36

On relations of the adjoint state to the value function for optimal control problems with state constraints

Frankowska, Hélène, Mazzola, Marco

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

2013

Language:

english

File:

PDF, 366 KB

english, 2013

37

ON LeFLOCH'S SOLUTIONS TO THE INITIAL-BOUNDARY VALUE PROBLEM FOR SCALAR CONSERVATION LAWS

FRANKOWSKA, HÉLÈNE

Journal:

Journal of Hyperbolic Differential Equations

Year:

2010

Language:

english

File:

PDF, 594 KB

english, 2010

38

First and second order necessary conditions for stochastic optimal controls

Frankowska, Hélène, Zhang, Haisen, Zhang, Xu

Journal:

Journal of Differential Equations

Year:

2017

Language:

english

File:

PDF, 1.74 MB

english, 2017

39

Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations with Degenerate State Constraints

Hélène Frankowska, Sławomir Plaskacz

Journal:

Journal of Mathematical Analysis and Applications

Year:

2000

Language:

english

File:

PDF, 148 KB

english, 2000

40

Regularity of Solution Maps of Differential Inclusions Under State Constraints

Piernicola Bettiol, Hélène Frankowska

Journal:

Set-Valued and Variational Analysis

Year:

2007

Language:

english

File:

PDF, 394 KB

english, 2007

41

estimates on trajectories confined to a closed subset

Piernicola Bettiol, Hélène Frankowska, Richard B. Vinter

Journal:

Journal of Differential Equations

Year:

2012

Language:

english

File:

PDF, 267 KB

english, 2012

42

Local Regularity of the Minimum Time Function

Frankowska, Hélène, Nguyen, Luong V.

Journal:

Journal of Optimization Theory and Applications

Year:

2015

Language:

english

File:

PDF, 262 KB

english, 2015

43

Necessary conditions for stochastic optimal control problems in infinite dimensions

Frankowska, Hélène, Zhang, Xu

Journal:

Stochastic Processes and their Applications

Year:

2019

File:

PDF, 594 KB

2019

44

Set-Valued Analysis || Closed Convex Processes

Aubin, Jean-Pierre, Frankowska, Hélène

Year:

2009

File:

PDF, 2.48 MB

2009

45

A measurable upper semicontinuous viability theorem for tubes

Hélène Frankowska, Sławomir Plaskacz

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1996

Language:

english

File:

PDF, 770 KB

english, 1996

46

Hölder continuity of minimizers for the state constrained Boza problem

Piernicola Bettiol, Hélène Frankowska

Journal:

Year:

2007

Language:

english

File:

PDF, 98 KB

english, 2007

47

[IEEE 2015 54th IEEE Conference on Decision and Control (CDC) - Osaka, Japan (2015.12.15-2015.12.18)] 2015 54th IEEE Conference on Decision and Control (CDC) - Jacobson type necessary optimality conditions for general control systems

Frankowska, Helene, Hoehener, Daniel

Year:

2015

Language:

english

File:

PDF, 276 KB

english, 2015

48

[IEEE 2013 IEEE 52nd Annual Conference on Decision and Control (CDC) - Firenze (2013.12.10-2013.12.13)] 52nd IEEE Conference on Decision and Control - The Goh necessary optimality conditions for the Mayer problem with control constraints

Frankowska, Helene, Tonon, Daniela

Year:

2013

Language:

english

File:

PDF, 187 KB

english, 2013

49

Normality and Nondegeneracy for Optimal Control Problems with State Constraints

Fontes, Fernando A. C. C., Frankowska, Hélène

Journal:

Journal of Optimization Theory and Applications

Year:

2015

Language:

english

File:

PDF, 323 KB

english, 2015

50

Interior sphere property of attainable sets and time optimal control problems

Cannarsa, Piermarco, Frankowska, Hélène

Journal:

ESAIM Control Optimisation and Calculus of Variations

Year:

2006

Language:

english

File:

PDF, 355 KB

english, 2006

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