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

Patrick Saint-Pierre

Banach Center Publications (1996)

  • Volume: 35, Issue: 1, page 243-255
  • ISSN: 0137-6934

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Saint-Pierre, Patrick. "Equilibria and Stability in Set-Valued Analysis: a Viability Approach." Banach Center Publications 35.1 (1996): 243-255. <http://eudml.org/doc/251323>.

@article{Saint1996,
author = {Saint-Pierre, Patrick},
journal = {Banach Center Publications},
keywords = {viability kernel; control theory; differential inclusions; epigraph; minimal time function; constrained control problems; Lyapunov functions},
language = {eng},
number = {1},
pages = {243-255},
title = {Equilibria and Stability in Set-Valued Analysis: a Viability Approach},
url = {http://eudml.org/doc/251323},
volume = {35},
year = {1996},
}

TY - JOUR
AU - Saint-Pierre, Patrick
TI - Equilibria and Stability in Set-Valued Analysis: a Viability Approach
JO - Banach Center Publications
PY - 1996
VL - 35
IS - 1
SP - 243
EP - 255
LA - eng
KW - viability kernel; control theory; differential inclusions; epigraph; minimal time function; constrained control problems; Lyapunov functions
UR - http://eudml.org/doc/251323
ER -

References

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  1. [1] J.-P Aubin and Byrnes, Lyapunov functions Associated with Attractors of Differential Inclusions. Cahier de Mathématiques de la Décision, (to appear). 
  2. [2] J.-P Aubin and H. Frankowska, Set-valued analysis, Birkhaüser, 1992. 
  3. [3] J.-P Aubin, Viability Theory, Birkhaüser, 1992. 
  4. [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. [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. [6] P. Cardaliaguet, M. Quincampoix and P. Saint-Pierre, Temps optimaux pour des problèmes avec contraintes et sans contrôlabilité locale (to appear). 
  7. [7] P. Cardaliaguet, M. Quincampoix and P. Saint-Pierre, Differential Games with state-constraints, Cahier de Mathématiques de la Décision, 1995. 
  8. [8] H. Frankowska, Lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations, SIAM J. Control and Optimization 31 (1) (1995), 257-272. Zbl0796.49024
  9. [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. [10] P. Saint-Pierre, Discrete Approximation of the Viability Kernel, Applied Mathematics and Optimisation 29, 187-209. 

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