Viability theory: new directions JP Aubin, AM Bayen, P Saint-Pierre Springer Science & Business Media, 2011 | 3111 | 2011 |
Approximation of the viability kernel P Saint-Pierre Applied Mathematics and Optimization 29, 187-209, 1994 | 426 | 1994 |
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 | 343 | 1999 |
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 | 138 | 2008 |
Pursuit differential games with state constraints P Cardaliaguet, M Quincampoix, P Saint-Pierre SIAM Journal on Control and Optimization 39 (5), 1615-1632, 2000 | 137 | 2000 |
Scale of viability and minimal time of crisis L Doyen, P Saint-Pierre Set-Valued Analysis 5, 227-246, 1997 | 116 | 1997 |
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 | 84 | 1997 |
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 | 71 | 1994 |
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 | 68 | 2008 |
An algorithm for viability kernels in Hölderian case: approximation by discrete dynamical systems M Quincampoix, P Saint-Pierre WP-93-057, 1993 | 63 | 1993 |
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 | 62 | 2007 |
Dynamic management of portfolios with transaction costs under tychastic uncertainty JP Aubin, D Pujal, P Saint-Pierre Numerical Methods in Finance, 59-89, 2005 | 61 | 2005 |
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 | 43 | 2004 |
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 | 42 | 2012 |
Numerical schemes for discontinuous value functions of optimal control P Cardaliaguet, M Quincampoix, P Saint-Pierre Set-Valued Analysis 8, 111-126, 2000 | 41 | 2000 |
Hybrid kernels and capture basins for impulse constrained systems P Saint-Pierre Hybrid Systems: Computation and Control: 5th International Workshop, HSCC …, 2002 | 39 | 2002 |
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 | 39 | 1998 |
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 | 37 | 2005 |
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 | 35 | 2007 |
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 | 35 | 2006 |