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ArticleOriginal scientific text

Title

Equilibria and Stability in Set-Valued Analysis: a Viability Approach

Authors 1

Affiliations

  1. CEREMADE, CNRS U.R.A. 749, Université Paris IX - Dauphine, France

Bibliography

  1. J.-P Aubin and Byrnes, Lyapunov functions Associated with Attractors of Differential Inclusions. Cahier de Mathématiques de la Décision, (to appear).
  2. J.-P Aubin and H. Frankowska, Set-valued analysis, Birkhaüser, 1992.
  3. J.-P Aubin, Viability Theory, Birkhaüser, 1992.
  4. P. Cardaliaguet, M. Quincampoix and P. Saint-Pierre, Some Algorithms for Differential Games with two Players and one Target. To appear in Journal of Mathematical Systems, Estimation and Control, 1994.
  5. P. Cardaliaguet, M. Quincampoix and P. Saint-Pierre, Temps optimaux pour des problèmes avec contraintes et sans contrôlabilité locale, C. R. A. S. 318 (1994), 607-612.
  6. P. Cardaliaguet, M. Quincampoix and P. Saint-Pierre, Temps optimaux pour des problèmes avec contraintes et sans contrôlabilité locale (to appear).
  7. P. Cardaliaguet, M. Quincampoix and P. Saint-Pierre, Differential Games with state-constraints, Cahier de Mathématiques de la Décision, 1995.
  8. H. Frankowska, Lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations, SIAM J. Control and Optimization 31 (1) (1995), 257-272.
  9. M. Quincampoix and P. Saint-Pierre, An Algorithm for Viability Kernels in Hölderian case: Approximation by Discrete Dynamical Systems, (& M. Quincampoix), Journal of Mathematical Systems, Estimation and Control 1993.
  10. P. Saint-Pierre, Discrete Approximation of the Viability Kernel, Applied Mathematics and Optimisation 29, 187-209.
Banach Center Publications
1996/35/1
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Pages:
243-255
Main language of publication
English
Published
1996
Exact and natural sciences