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Patrick Saint-Pierre
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Viability theory: new directions
JP Aubin, AM Bayen, P Saint-Pierre
Springer Science & Business Media, 2011
30822011
Approximation of the viability kernel
P Saint-Pierre
Applied Mathematics and Optimization 29, 187-209, 1994
4241994
Set-valued numerical analysis for optimal control and differential games
P Cardaliaguet, M Quincampoix, P Saint-Pierre
Stochastic and differential games: theory and numerical methods, 177-247, 1999
3431999
Dirichlet problems for some Hamilton–Jacobi equations with inequality constraints
JP Aubin, AM Bayen, P Saint-Pierre
SIAM journal on control and optimization 47 (5), 2348-2380, 2008
1382008
Pursuit differential games with state constraints
P Cardaliaguet, M Quincampoix, P Saint-Pierre
SIAM Journal on Control and Optimization 39 (5), 1615-1632, 2000
1312000
Scale of viability and minimal time of crisis
L Doyen, P Saint-Pierre
Set-Valued Analysis 5, 227-246, 1997
1141997
Optimal times for constrained nonlinear control problems without local controllability
P Cardaliaguet, M Quincampoix, P Saint-Pierre
Applied Mathematics and Optimization 36, 21-42, 1997
841997
Some algorithms for differential games with two players and one target
P Cardaliaguet, M Quincampoix, P Saint-Pierre
ESAIM: Mathematical Modelling and Numerical Analysis 28 (4), 441-461, 1994
711994
Beyond optimality: Managing children, assets, and consumption over the life cycle
N Bonneuil, P Saint-Pierre
Journal of Mathematical Economics 44 (3-4), 227-241, 2008
672008
An algorithm for viability kernels in Hölderian case: approximation by discrete dynamical systems
M Quincampoix, P Saint-Pierre
WP-93-057, 1993
631993
An introduction to viability theory and management of renewable resources
JP Aubin, P Saint-Pierre
Advanced Methods for Decision Making and Risk Management in Sustainability …, 2007
622007
Dynamic management of portfolios with transaction costs under tychastic uncertainty
JP Aubin, D Pujal, P Saint-Pierre
Numerical Methods in Finance, 59-89, 2005
612005
Nonlinear impulse target problems under state constraint: A numerical analysis based on viability theory
E Crück, P Saint-Pierre
Set-Valued Analysis 12, 383-416, 2004
432004
The Interval Market Model in Mathematical Finance: Game-Theoretic Methods
P Bernhard, JC Engwerda, B Roorda, JM Schumacher, V Kolokoltsov, ...
Springer Science & Business Media, 2012
412012
Numerical schemes for discontinuous value functions of optimal control
P Cardaliaguet, M Quincampoix, P Saint-Pierre
Set-Valued Analysis 8, 111-126, 2000
412000
Hybrid kernels and capture basins for impulse constrained systems
P Saint-Pierre
Hybrid Systems: Computation and Control: 5th International Workshop, HSCC …, 2002
392002
An algorithm for viability kernels in Hölderian case: Approximation by discrete viability kernels
M Quincampoix, P Saint-Pierre
J. Math. Syst. Est. and Control 8, 17-29, 1998
391998
Viability, Control and Games: Regulation of complex evolutionary systems under uncertainty and viability constraints
JP Aubin, A Bayen, N Bonneuil, P Saint-Pierre
Springer-Verlag, 2005
372005
Differential games through viability theory: Old and recent results
P Cardaliaguet, M Quincampoix, P Saint-Pierre
Advances in dynamic game theory: numerical methods, algorithms, and …, 2007
352007
Computing viable sets and reachable sets to design feedback linearizing control laws under saturation
M Oishi, I Mitchell, C Tomlin, P Saint-Pierre
Proceedings of the 45th IEEE Conference on Decision and Control, 3801-3807, 2006
352006
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