Continuity of admissible trajectories for state constraints control problems

Discrete and Continuous Dynamical Systems

Volumn 2, Issue 3, 1996, Pages 297-305

  Arisawa, M ^a   Lions, P L ^a  

^a UNIVERSITÉ PARIS DAUPHINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030491161     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.1996.2.297     Document Type: Article

References (12)

1. M. Arisawa: Ergodic problem for the Hamilton-Jacobi-Bellman equation. To appear in Ann. I.H.P. (Anal. Non Lin.).
2. M. Bardi and J. Capuzzo-Dolcetta: book in preparation.
3. G. Barles: "Solutions de Viscosit(e) des (E)quations de Hamilton-Jacobi", Mathématiques et Applications,17. Springer, Berlin (1994).
4. ∞-NORM OF A DIFFUSION PROCESS. SIAM J. Control Optim., 32, (1994), 612-634.
5. G. Barles and P.-L. Lions: REMARQUES SUR LES PROBLMES DE RFLEXION OBLIQUE. C.R. Acad. Sci. Paris, 320, 69-74.
6. I. Capuzzo-Dolcetta and P.-L. Lions: HAMILTON-JACOBI EQUATIONS WITH STATE CONSTRAINT, Trans. Amer. Math. Soc., 318 (1990), 643-683.
7. M.G. Crandall, H. Ishii and P.-L. Lions: USER'S GUIDE TO VISCOSITY SOLUTIONS OF SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS, Bull. Amer. Math. Soc., 27 (1992), 1-67.
8. W.H. Fleming and M.H. Soner: "Controlled Markov Processes and Viscosity Solutions", Springer, Berlin, (1993).
9. H. Ishii and S. Koike: A NEW FORMULATION OF STATE CONSTRAINT PROBLEMS FOR FIRST-ORDER PDEs, preprint.
10. P.-L. Lions: "Generalized solutions of Hamilton-Jacobi equations", Pitman, London, (1982).
11. P. Loreti and M.E. Tessitore: APPROXIMATION AND REGULARITY RESULTS ON CONSTRAINED VISCOSITY SOLUTIONS OF HAMILTON-JACOBI-BELLMAN EQUATIONS, preprint.
12. H.M. Soner: OPTIMAL CONTROL WITH STATE-SPACE CONSTRAINT. I, SIAM J. Control Optim., 24 (1986), 552-562.