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Volumn 161, Issue 2, 2000, Pages 449-478

Filippov's and Filippov-Ważewski's Theorems on Closed Domains

Author keywords

State constraints; existence of neighboring trajectories; relaxation; Lipschitz dependence on initial conditions; value function

Indexed keywords


EID: 0034148320     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2000.3711     Document Type: Article
Times cited : (82)

References (19)
  • 1
    • 0030491161 scopus 로고    scopus 로고
    • Continuity of admissible trajectories for state constraints control problems
    • Arisawa M., Lions P.-L. Continuity of admissible trajectories for state constraints control problems. Discrete Contin. Dynam. Systems. 2:1996;297-305.
    • (1996) Discrete Contin. Dynam. Systems , vol.2 , pp. 297-305
    • Arisawa, M.1    Lions, P.-L.2
  • 5
    • 0003186078 scopus 로고
    • A boundary-value problem for Hamilton-Jacobi equations in Hilbert spaces
    • Cannarsa P., Gozzi F., Soner H. M. A boundary-value problem for Hamilton-Jacobi equations in Hilbert spaces. Appl. Math. Optim. 24:1991;197-220.
    • (1991) Appl. Math. Optim. , vol.24 , pp. 197-220
    • Cannarsa, P.1    Gozzi, F.2    Soner, H.M.3
  • 6
    • 0000939879 scopus 로고
    • Hamilton-Jacobi equations and state constrained problems
    • Capuzzo Dolcetta I., Lions P.-L. Hamilton-Jacobi equations and state constrained problems. Trans. Amer. Math. Soc. 318:1990;643-668.
    • (1990) Trans. Amer. Math. Soc. , vol.318 , pp. 643-668
    • Capuzzo Dolcetta, I.1    Lions, P.-L.2
  • 7
    • 84967758647 scopus 로고
    • Viscosity solutions of Hamilton-Jacobi equations
    • Crandall M. G., Lions P. L. Viscosity solutions of Hamilton-Jacobi equations. Trans. Amer. Math. Soc. 277:1983;1-42.
    • (1983) Trans. Amer. Math. Soc. , vol.277 , pp. 1-42
    • Crandall, M.G.1    Lions, P.L.2
  • 8
    • 0001385681 scopus 로고    scopus 로고
    • On nonconvex differential inclusions whose state is constrained in the closure of an open set, Applications to dynamic programming
    • Forcellini F., Rampazzo F. On nonconvex differential inclusions whose state is constrained in the closure of an open set, Applications to dynamic programming. Differential Integral Equations. 12:1999;471-497.
    • (1999) Differential Integral Equations , vol.12 , pp. 471-497
    • Forcellini, F.1    Rampazzo, F.2
  • 9
    • 0032630176 scopus 로고    scopus 로고
    • Relaxation of control systems under state constraints
    • Frankowska H., Rampazzo F. Relaxation of control systems under state constraints. SIAM J. Control. 37:1999;1291-1309.
    • (1999) SIAM J. Control , vol.37 , pp. 1291-1309
    • Frankowska, H.1    Rampazzo, F.2
  • 11
    • 0030107199 scopus 로고    scopus 로고
    • A new formulation of state constraints problems for first order PDEs
    • Ishii H., Koike S. A new formulation of state constraints problems for first order PDEs. SIAM J. Control Optim. 365:1996;554-576.
    • (1996) SIAM J. Control Optim. , vol.365 , pp. 554-576
    • Ishii, H.1    Koike, S.2
  • 12
    • 0023421997 scopus 로고
    • Some properties of constrained viscosity solutions of Hamilton-Jacobi-Bellman equations
    • Loreti P. Some properties of constrained viscosity solutions of Hamilton-Jacobi-Bellman equations. SIAM J. Control Optim. 25:1987;1244-1252.
    • (1987) SIAM J. Control Optim. , vol.25 , pp. 1244-1252
    • Loreti, P.1
  • 13
    • 0000123026 scopus 로고
    • Approximation and regularity results on constrained viscosity solutions of Hamilton-Jacobi-Bellman equations
    • Loreti P., Tessitore M. E. Approximation and regularity results on constrained viscosity solutions of Hamilton-Jacobi-Bellman equations. J. Math. Systems Estim. Control. 4:1994;467-483.
    • (1994) J. Math. Systems Estim. Control , vol.4 , pp. 467-483
    • Loreti, P.1    Tessitore, M.E.2
  • 14
    • 0029376159 scopus 로고
    • On nonlinear optimal control problems with state constraints
    • Motta M. On nonlinear optimal control problems with state constraints. SIAM J. Control Optim. 33:1995;1411-1424.
    • (1995) SIAM J. Control Optim. , vol.33 , pp. 1411-1424
    • Motta, M.1
  • 17
    • 0000670389 scopus 로고
    • Clarke's tangent cones and the boundaries of closed sets
    • Rockafellar R. T. Clarke's tangent cones and the boundaries of closed sets. Nonlinear Anal. 1979;145-154.
    • (1979) Nonlinear Anal. , pp. 145-154
    • Rockafellar, R.T.1
  • 18
    • 0022715502 scopus 로고
    • Optimal control with state-space constraints
    • Soner H. M. Optimal control with state-space constraints. SIAM J. Control Optim. 24:1986;552-561.
    • (1986) SIAM J. Control Optim. , vol.24 , pp. 552-561
    • Soner, H.M.1
  • 19
    • 85037803811 scopus 로고    scopus 로고
    • Equations of control problems with state constraints
    • Optimality principles and representation formulas for viscosity solutions of Hamilton-Jacobi-Bellman equations. II.
    • P. Soravia, Optimality principles and representation formulas for viscosity solutions of Hamilton-Jacobi-Bellman equations. II. Equations of control problems with state constraints, Adv. Differential Equations, to appear.
    • Adv. Differential Equations
    • Soravia, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.