On ε-optimal controls for state constraint problems

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

Volumn 17, Issue 4, 2000, Pages 473-502

  Ishii, Hitoshi ^a   Koike, Shigeaki ^b  

^a TOKYO METROPOLITAN UNIVERSITY   (Japan)

^b SAITAMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011189726     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(00)00114-1     Document Type: Article

References (7)

1. Bardi M., Capuzzo Dolcetta I., Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations, Birkhäuser, 1997.
2. Barles G., Solutions de Viscosité des Equations de Hamilton-Jacobi, Springer, 1994.
3. Brezis H., Opérateurs Maximaux Monotones et Semi-groupes de Contractions dans les Espaces de Hilbert, North Holland, Amsterdam, 1973.
4. Clarke F.H., Ledyaev Y.S., Sontag E.D., Subbotin A.I., Asymptotic controllability implies feedback stabilization, IEEE Trans. Automat. Control 42 (1997) 1394-1407.
5. Ishii H., Koike S., A new formulation of state constraint problems for first order PDE's, SIAM J. Control Optim. 36 (1996) 554-571.
6. Koike S., On the state constraint problem for differential games, Indiana Univ. Math. J. 44 (1995) 467-487.
7. Loreti P., Tessitore M.E., Approximation and regularity results on constrained viscosity solution of Hamilton-Jacobi-Bellman equations, J. Math. Systems Estimation Control 4 (1994) 467-483.