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Bernhard, Pierre

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Author ID: bernhard.pierre Recent zbMATH articles by "Bernhard, Pierre"
Published as: Bernhard, P.; Bernhard, Pierre
External Links: MGP · Wikidata
Documents Indexed: 84 Publications since 1972, including 8 Books

Publications by Year

Citations contained in zbMATH

53 Publications have been cited 332 times in 289 Documents Cited by Year
\(H^ \infty\)-optimal control and related minimax design problems. A dynamic game approach. 2nd ed. Zbl 0835.93001
Başar, Tamer; Bernhard, Pierre
80
1995
\(H^ \infty\) - optimal control and related minimax design problems. A dynamic game approach. Zbl 0751.93020
Başar, Tamer; Bernhard, Pierre
59
1991
On singular implicit linear dynamical systems. Zbl 0491.93004
Bernhard, Pierre
43
1982
\(H^ \infty\)-optimal control and related minimax design problems. A dynamic game approach. Softcover reprint of the 1995 2nd ed. Zbl 1130.93002
Başar, Tamer; Bernhard, Pierre
17
2008
Linear-quadratic, two person, zero-sum differential games: Necessary and sufficient conditions. Zbl 0378.90109
Bernhard, P.
12
1979
Singular surfaces in differential games. An introduction. Zbl 0378.90108
Bernhard, Pierre
11
1977
On a theorem of Danskin with an application to a theorem of von Neumann-Sion. Zbl 0839.49006
Bernhard, Pierre; Rapaport, Alain
8
1995
Structural properties of minimax controllers for a class of differential games arising in nonlinear \(H^ \infty\) control. Zbl 0804.90151
Didinsky, Garry; Başar, Tamer; Bernhard, Pierre
8
1993
Robust control approach to option pricing, including transaction costs. Zbl 1181.91309
Bernhard, Pierre
7
2005
Deterministic minimax impulse control. Zbl 1198.49025
El Farouq, Naïma; Barles, Guy; Bernhard, Pierre
6
2010
An impulsive differential game arising in finance with interesting singularities. Zbl 1274.91068
Bernhard, Pierre; El Farouq, Naïma; Thiery, Stéphane
6
2006
The interval market model in mathematical finance. Game-theoretic methods. Zbl 1279.91005
Bernhard, Pierre; Engwerda, Jacob C.; Roorda, Berend; Schumacher, Johannes M.; Kolokoltsov, Vassili; Saint-Pierre, Patrick; Aubin, Jean-Pierre
5
2013
Application of the min-max certainty equivalence principle to the sampled data output feedback \(H^{\infty}\) control problem. Zbl 0728.93026
Bernhard, Pierre
4
1991
Rabbit and hunter game: Two discrete stochastic formulations. Zbl 0623.90105
Bernhard, P.; Colomb, A.-L.; Papavassilopoulos, G. P.
4
1987
Evolutionarily robust strategies: two nontrivial examples and a theorem. Zbl 1179.91035
Shaiju, A. J.; Bernhard, Pierre
3
2009
Survey of linear quadratic robust control. Zbl 1003.93012
Bernhard, Pierre
3
2002
Max-plus algebra and mathematical fear in dynamic optimization. Zbl 0963.93055
Bernhard, Pierre
3
2000
Min-max certainty equivalence principle and differential games. Zbl 0857.93033
Bernhard, Pierre; Rapaport, Alain
3
1996
Expected values, feared values and partial information optimal control. Zbl 0853.93093
Bernhard, Pierre
3
1995
Linear-quadratic two-person zero-sum differential games, necessary and sufficient conditions: Comment. Zbl 0439.90110
Bernhard, P.
3
1980
Simple signaling games of sexual selection (Grafen’s revisited). Zbl 1306.92067
Bernhard, Pierre; Hamelin, Frédéric M.
2
2014
Uncoupling Isaacs equations in two-player nonzero-sum differential games. Parental conflict over care as an example. Zbl 1283.91017
Hamelin, Frédéric; Bernhard, Pierre
2
2008
Robust control approach to option pricing: a representation theorem and fast algorithm. Zbl 1152.49029
Bernhard, Pierre; El Farouq, Naïma; Thiery, Stéphane
2
2007
Diet selection as a differential foraging game. Zbl 1157.91009
Hamelin, Frédéric; Bernhard, Pierre; Shaiju, A. J.; Wajnberg, Éric
2
2007
Foraging under competition: evolutionarily stable patch-leaving strategies with random arrival times. II. Interference competition. Zbl 1154.91338
Hamelin, Frédéric; Bernhard, Pierre; Shanijui, A. J.; Wajnberg, Éric
2
2007
Foraging inder competition: evolutionarily stable patch-leaving strategies with random arrival times. I: Scramble competition. Zbl 1152.91353
Hamelin, Frédéric; Bernhard, Pierre; Nain, Philippe; Wajnberg, Éric
2
2007
On the singularities of an impulsive differential game arising in mathematical finance. Zbl 1184.91197
Bernhard, Pierre
2
2006
The robust control approach to option pricing and interval models: an overview. Zbl 1126.91360
Bernhard, Pierre
2
2005
On the standard problem of \(H_ \infty\)-optimal control for infinite dimensional systems. Zbl 0799.93017
Bensoussan, A.; Bernhard, P.
2
1993
Étude de la barrière pour un problème de fuite optimale dans le plan. (A study of the barrier for a problem of optimal evasion in the plane). Zbl 0737.90088
Bernhard, P.; Larrouturou, B.
2
1991
Commande optimale linéaire quadratique des systèmes implicites discrets. (Optimal linear quadratic control of implicitly discrete systems). Zbl 0687.49012
Bernhard, Pierre; Grimm, José; Wang, Xiao-Min
2
1990
Sharing a resource with randomly arriving foragers. Zbl 1360.92129
Bernhard, Pierre; Hamelin, Frédéric
1
2016
Evolutionary dynamics of the handicap principle: an example. Zbl 1349.92104
Bernhard, Pierre
1
2015
Proportional transaction costs in the robust control approach to option pricing: the uniqueness theorem. Zbl 1326.49015
El Farouq, Naïma; Bernhard, Pierre
1
2015
A robust control approach to option pricing: the uniqueness theorem. Zbl 1296.91260
Bernhard, Pierre; El Farouq, Naïma
1
2013
Join forces or cheat: evolutionary analysis of a consumer-resource system. Zbl 1296.91064
Akhmetzhanov, Andrei R.; Grognard, Frédéric; Mailleret, Ludovic; Bernhard, Pierre
1
2012
ESS, population games, replicator dynamics: dynamics and games if not dynamic games. Zbl 1218.91110
Bernhard, Pierre
1
2011
Two-by-two static, evolutionary, and dynamic games. Zbl 1181.91028
Bernhard, Pierre; Hamelin, Frédéric
1
2009
Advances in dynamic games and their applications. Analytical and numerical developments. Selected papers based on the presentations at the 12th international symposium on dynamic games (ISDG) and applications, Sophia Antipolis, France, July 3–6, 2006. Zbl 1175.91011
Bernhard, Pierre (ed.); Gaitsgory, Vladimir (ed.); Pourtallier, Odile (ed.)
1
2009
Geometry of optimal paths around focal singular surfaces in differential games. Zbl 1082.35051
Melikyan, Arik; Bernhard, Pierre
1
2005
Minimax – or feared value – \(L ^{1}\)/\(L ^{\infty}\) control. Zbl 1026.93053
Bernhard, Pierre
1
2003
A Separation theorem for expected value and feared value discrete time control. Zbl 0878.93062
Bernhard, Pierre
1
1996
A discrete-time min-max certainty equivalence principle. Zbl 0877.93070
Bernhard, Pierre
1
1995
Remarks on the theory of robust control. Zbl 0795.93030
Bensoussan, A.; Bernhard, P.
1
1992
About the resolution of discrete pursuit games and its applications to naval warfare. Zbl 0831.90143
Laporte, Vincent; Nicolas, Jean Marie; Bernhard, Pierre
1
1991
A simple game with a singular focal line. Zbl 0687.90108
Breakwell, J. V.; Bernhard, P.
1
1990
A simple game with a singular focal line. Zbl 0666.90104
Breakwell, J. V.; Bernhard, P.
1
1989
Differential games and applications. (All but one of these articles are based on presentations made at the third international symposium held at INRIA, Sophia-Antipolis, France, on June 16-17, 1988). Zbl 0663.00020
Başar, Tamar S. (ed.); Bernhard, Pierre (ed.)
1
1989
La théorie de la seconde variation et le problème linéaire quadratique. Zbl 0565.70014
Bernhard, Pierre
1
1983
Une construction retrograde dans les jeux différentiels qualitatifs, et application à la régulation. Zbl 0488.90094
Bernhard, P.; Tomski, G.
1
1982
Exact controllability of perturbed continuous-time linear systems. Zbl 0436.93007
Bernhard, P.
1
1980
Commande optimale, decentralisation et jeux dynamiques. Zbl 0366.49001
Bernhard, Pierre; Cohen, Guy
1
1976
Einführung in die Theorie der optimalen Regelung. (Introduccion a la teoria de control optimo.). Zbl 0269.49002
Bernhard, Pierre
1
1972
Sharing a resource with randomly arriving foragers. Zbl 1360.92129
Bernhard, Pierre; Hamelin, Frédéric
1
2016
Evolutionary dynamics of the handicap principle: an example. Zbl 1349.92104
Bernhard, Pierre
1
2015
Proportional transaction costs in the robust control approach to option pricing: the uniqueness theorem. Zbl 1326.49015
El Farouq, Naïma; Bernhard, Pierre
1
2015
Simple signaling games of sexual selection (Grafen’s revisited). Zbl 1306.92067
Bernhard, Pierre; Hamelin, Frédéric M.
2
2014
The interval market model in mathematical finance. Game-theoretic methods. Zbl 1279.91005
Bernhard, Pierre; Engwerda, Jacob C.; Roorda, Berend; Schumacher, Johannes M.; Kolokoltsov, Vassili; Saint-Pierre, Patrick; Aubin, Jean-Pierre
5
2013
A robust control approach to option pricing: the uniqueness theorem. Zbl 1296.91260
Bernhard, Pierre; El Farouq, Naïma
1
2013
Join forces or cheat: evolutionary analysis of a consumer-resource system. Zbl 1296.91064
Akhmetzhanov, Andrei R.; Grognard, Frédéric; Mailleret, Ludovic; Bernhard, Pierre
1
2012
ESS, population games, replicator dynamics: dynamics and games if not dynamic games. Zbl 1218.91110
Bernhard, Pierre
1
2011
Deterministic minimax impulse control. Zbl 1198.49025
El Farouq, Naïma; Barles, Guy; Bernhard, Pierre
6
2010
Evolutionarily robust strategies: two nontrivial examples and a theorem. Zbl 1179.91035
Shaiju, A. J.; Bernhard, Pierre
3
2009
Two-by-two static, evolutionary, and dynamic games. Zbl 1181.91028
Bernhard, Pierre; Hamelin, Frédéric
1
2009
Advances in dynamic games and their applications. Analytical and numerical developments. Selected papers based on the presentations at the 12th international symposium on dynamic games (ISDG) and applications, Sophia Antipolis, France, July 3–6, 2006. Zbl 1175.91011
Bernhard, Pierre (ed.); Gaitsgory, Vladimir (ed.); Pourtallier, Odile (ed.)
1
2009
\(H^ \infty\)-optimal control and related minimax design problems. A dynamic game approach. Softcover reprint of the 1995 2nd ed. Zbl 1130.93002
Başar, Tamer; Bernhard, Pierre
17
2008
Uncoupling Isaacs equations in two-player nonzero-sum differential games. Parental conflict over care as an example. Zbl 1283.91017
Hamelin, Frédéric; Bernhard, Pierre
2
2008
Robust control approach to option pricing: a representation theorem and fast algorithm. Zbl 1152.49029
Bernhard, Pierre; El Farouq, Naïma; Thiery, Stéphane
2
2007
Diet selection as a differential foraging game. Zbl 1157.91009
Hamelin, Frédéric; Bernhard, Pierre; Shaiju, A. J.; Wajnberg, Éric
2
2007
Foraging under competition: evolutionarily stable patch-leaving strategies with random arrival times. II. Interference competition. Zbl 1154.91338
Hamelin, Frédéric; Bernhard, Pierre; Shanijui, A. J.; Wajnberg, Éric
2
2007
Foraging inder competition: evolutionarily stable patch-leaving strategies with random arrival times. I: Scramble competition. Zbl 1152.91353
Hamelin, Frédéric; Bernhard, Pierre; Nain, Philippe; Wajnberg, Éric
2
2007
An impulsive differential game arising in finance with interesting singularities. Zbl 1274.91068
Bernhard, Pierre; El Farouq, Naïma; Thiery, Stéphane
6
2006
On the singularities of an impulsive differential game arising in mathematical finance. Zbl 1184.91197
Bernhard, Pierre
2
2006
Robust control approach to option pricing, including transaction costs. Zbl 1181.91309
Bernhard, Pierre
7
2005
The robust control approach to option pricing and interval models: an overview. Zbl 1126.91360
Bernhard, Pierre
2
2005
Geometry of optimal paths around focal singular surfaces in differential games. Zbl 1082.35051
Melikyan, Arik; Bernhard, Pierre
1
2005
Minimax – or feared value – \(L ^{1}\)/\(L ^{\infty}\) control. Zbl 1026.93053
Bernhard, Pierre
1
2003
Survey of linear quadratic robust control. Zbl 1003.93012
Bernhard, Pierre
3
2002
Max-plus algebra and mathematical fear in dynamic optimization. Zbl 0963.93055
Bernhard, Pierre
3
2000
Min-max certainty equivalence principle and differential games. Zbl 0857.93033
Bernhard, Pierre; Rapaport, Alain
3
1996
A Separation theorem for expected value and feared value discrete time control. Zbl 0878.93062
Bernhard, Pierre
1
1996
\(H^ \infty\)-optimal control and related minimax design problems. A dynamic game approach. 2nd ed. Zbl 0835.93001
Başar, Tamer; Bernhard, Pierre
80
1995
On a theorem of Danskin with an application to a theorem of von Neumann-Sion. Zbl 0839.49006
Bernhard, Pierre; Rapaport, Alain
8
1995
Expected values, feared values and partial information optimal control. Zbl 0853.93093
Bernhard, Pierre
3
1995
A discrete-time min-max certainty equivalence principle. Zbl 0877.93070
Bernhard, Pierre
1
1995
Structural properties of minimax controllers for a class of differential games arising in nonlinear \(H^ \infty\) control. Zbl 0804.90151
Didinsky, Garry; Başar, Tamer; Bernhard, Pierre
8
1993
On the standard problem of \(H_ \infty\)-optimal control for infinite dimensional systems. Zbl 0799.93017
Bensoussan, A.; Bernhard, P.
2
1993
Remarks on the theory of robust control. Zbl 0795.93030
Bensoussan, A.; Bernhard, P.
1
1992
\(H^ \infty\) - optimal control and related minimax design problems. A dynamic game approach. Zbl 0751.93020
Başar, Tamer; Bernhard, Pierre
59
1991
Application of the min-max certainty equivalence principle to the sampled data output feedback \(H^{\infty}\) control problem. Zbl 0728.93026
Bernhard, Pierre
4
1991
Étude de la barrière pour un problème de fuite optimale dans le plan. (A study of the barrier for a problem of optimal evasion in the plane). Zbl 0737.90088
Bernhard, P.; Larrouturou, B.
2
1991
About the resolution of discrete pursuit games and its applications to naval warfare. Zbl 0831.90143
Laporte, Vincent; Nicolas, Jean Marie; Bernhard, Pierre
1
1991
Commande optimale linéaire quadratique des systèmes implicites discrets. (Optimal linear quadratic control of implicitly discrete systems). Zbl 0687.49012
Bernhard, Pierre; Grimm, José; Wang, Xiao-Min
2
1990
A simple game with a singular focal line. Zbl 0687.90108
Breakwell, J. V.; Bernhard, P.
1
1990
A simple game with a singular focal line. Zbl 0666.90104
Breakwell, J. V.; Bernhard, P.
1
1989
Differential games and applications. (All but one of these articles are based on presentations made at the third international symposium held at INRIA, Sophia-Antipolis, France, on June 16-17, 1988). Zbl 0663.00020
Başar, Tamar S. (ed.); Bernhard, Pierre (ed.)
1
1989
Rabbit and hunter game: Two discrete stochastic formulations. Zbl 0623.90105
Bernhard, P.; Colomb, A.-L.; Papavassilopoulos, G. P.
4
1987
La théorie de la seconde variation et le problème linéaire quadratique. Zbl 0565.70014
Bernhard, Pierre
1
1983
On singular implicit linear dynamical systems. Zbl 0491.93004
Bernhard, Pierre
43
1982
Une construction retrograde dans les jeux différentiels qualitatifs, et application à la régulation. Zbl 0488.90094
Bernhard, P.; Tomski, G.
1
1982
Linear-quadratic two-person zero-sum differential games, necessary and sufficient conditions: Comment. Zbl 0439.90110
Bernhard, P.
3
1980
Exact controllability of perturbed continuous-time linear systems. Zbl 0436.93007
Bernhard, P.
1
1980
Linear-quadratic, two person, zero-sum differential games: Necessary and sufficient conditions. Zbl 0378.90109
Bernhard, P.
12
1979
Singular surfaces in differential games. An introduction. Zbl 0378.90108
Bernhard, Pierre
11
1977
Commande optimale, decentralisation et jeux dynamiques. Zbl 0366.49001
Bernhard, Pierre; Cohen, Guy
1
1976
Einführung in die Theorie der optimalen Regelung. (Introduccion a la teoria de control optimo.). Zbl 0269.49002
Bernhard, Pierre
1
1972
all top 5

Cited by 426 Authors

18 Bernhard, Pierre
17 Başar, Tamer
12 Petersen, Ian Richard
7 Banaszuk, Andrzej
7 Engwerda, Jacob Christiaan
7 Malabre, Michel
6 Kociȩcki, Maciej
5 Lewis, Frank Leroy
5 Olsder, Geert Jan
5 Pan, Zigang
5 Shinar, Josef
5 Ugrinovskii, Valery A.
4 El Farouq, Naïma
4 Hamelin, Frédéric M.
4 Hansen, Lars Peter
4 Moon, Jun-Hee
4 Sargent, Thomas John
4 Savkin, Andrey V.
3 Bauso, Dario
3 Bonilla Estrada, Moisés
3 Bonilla, Moisés E.
3 Colaneri, Patrizio
3 Glizer, Valery Y.
3 Goodwin, Graham Clifford
3 James, Matthew R.
3 Jungers, Marc
3 Karcanias, Nicos
3 Lewin, Jonathan W.
3 Ntogramatzidis, Lorenzo
3 Przyłuski, Krzysztof Maciej
3 Quincampoix, Marc
3 Stillfjord, Tony
3 Turetsky, Vladimir
2 Abou-Kandil, Hisham
2 Astolfi, Alessandro
2 Åström, Karl Johan
2 Berger, Thomas K.
2 Bishop, Adrian N.
2 Breakwell, John V.
2 Castelan, Eugênio B.
2 Charalambous, Charalambos D.
2 Day, Martin V.
2 Del Moral, Pierre
2 Deng, Hua
2 Didinsky, Garry
2 Ferrante, Augusto
2 Fu, Minyue
2 Hespanha, João Pedro
2 Ionescu, Vlad
2 Khlebnikov, Mikhail Vladimirovich
2 Kokotovic, Petar V.
2 Krstić, Miroslav
2 Lee, E. Bruce
2 Melikyan, Arik Artavazdovich
2 Misra, Pradeep
2 Moore, John Barratt
2 Mordukhovich, Boris S.
2 Morris, Kirsten A.
2 Pachter, Meir
2 Patsko, Valerii S.
2 Przyłusky, K. Maciej
2 Saberi, Ali
2 Salmah
2 Shaiju, A. J.
2 Smirnov, Sergeĭ Nikolaevich
2 Stoorvogel, Anton A.
2 Syrmos, Vassilis L.
2 Tembine, Hamidou
2 Teo, Kok Lay
2 Trenn, Stephan
2 Triggiani, Roberto
2 Van Dooren, Paul M.
2 Wu, Changzhi
2 Yoon, Myunggon
2 Yung, Cheefai
2 Zhang, Huanshui
1 Abid, Muhammad
1 Abu-Khalaf, Murad
1 Agnoloni, Tommaso
1 Aguiar, António Pedro
1 Al-Jamal, Rasha H.
1 Al-Tamimi, Asma
1 Alziary de Roquefort, B.
1 Amato, Francesco
1 Ansari, Nirwan
1 Antsaklis, Panos J.
1 Aplevich, J. D.
1 Arcak, Murat
1 Arslan, Gürdal
1 Assadian, Farhad
1 Atir, Hezi
1 Auslander, David M.
1 Azhmyakov, Vadim
1 Azimzadeh, Parsiad
1 Bachelier, Olivier
1 Bakolas, Efstathios
1 Baras, John S.
1 Bardi, Martino
1 Barles, Guy
1 Barreiro, Antonio
...and 326 more Authors
all top 5

Cited in 73 Serials

66 Automatica
39 Systems & Control Letters
20 Journal of Optimization Theory and Applications
13 Dynamic Games and Applications
10 SIAM Journal on Control and Optimization
8 International Journal of Control
8 Linear Algebra and its Applications
7 Circuits, Systems, and Signal Processing
6 Journal of the Franklin Institute
6 Kybernetika
6 European Journal of Control
5 Journal of Mathematical Analysis and Applications
5 Applied Mathematics and Optimization
4 Computers & Mathematics with Applications
4 Dynamics and Control
4 Automation and Remote Control
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 International Game Theory Review
3 Journal of Economic Theory
3 European Journal of Operational Research
2 International Journal of Systems Science
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 MCSS. Mathematics of Control, Signals, and Systems
2 Numerical Algorithms
2 Stochastic Processes and their Applications
2 Mathematical Problems in Engineering
2 Matematicheskaya Teoriya Igr i eë Prilozheniya
2 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 Computer Methods in Applied Mechanics and Engineering
1 Communications on Pure and Applied Mathematics
1 Journal of Mathematical Biology
1 Mathematical Biosciences
1 Mathematical Notes
1 Chaos, Solitons and Fractals
1 Prikladnaya Matematika i Mekhanika
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Applied Mathematics and Computation
1 Fuzzy Sets and Systems
1 Journal of Computational and Applied Mathematics
1 Journal of Multivariate Analysis
1 Naval Research Logistics
1 Numerische Mathematik
1 Operations Research
1 Theoretical Computer Science
1 Theoretical Population Biology
1 SIAM Journal on Algebraic and Discrete Methods
1 Stochastic Analysis and Applications
1 Journal of Economic Dynamics & Control
1 Neural Networks
1 Annals of Operations Research
1 Multidimensional Systems and Signal Processing
1 Neural Computation
1 Economics Letters
1 International Journal of Adaptive Control and Signal Processing
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Advances in Engineering Software
1 Computational Economics
1 Calculus of Variations and Partial Differential Equations
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 Integral Transforms and Special Functions
1 Mathematical Methods of Operations Research
1 CEJOR. Central European Journal of Operations Research
1 Journal of Applied Mathematics and Computing
1 Journal of Fixed Point Theory and Applications
1 Nonlinear Analysis. Hybrid Systems
1 Games
1 Asian Journal of Control
1 Evolution Equations and Control Theory
1 Journal of Dynamics and Games
1 Quantum Studies: Mathematics and Foundations
1 International Journal of Applied and Computational Mathematics

Citations by Year

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