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Volumn 17, Issue 4, 2011, Pages 995-1015

Deterministic state-constrained optimal control problems without controllability assumptions

Author keywords

Hamilton Jacobi equation; Optimal control problem; state constraints

Indexed keywords

CHARACTERIZATION; CONTROLLABILITY;

EID: 81555211985     PISSN: 12928119     EISSN: 12623377     Source Type: Journal    
DOI: 10.1051/cocv/2010030     Document Type: Article
Times cited : (27)

References (23)
  • 4
    • 0141812098 scopus 로고    scopus 로고
    • A Dirichlet type problem for nonlinear degenerate elliptic equations arising in time-optimal stochastic control
    • M. Bardi, P. Goatin and H. Ishii, A Dirichlet type problem for nonlinear degenerate elliptic equations arising in time-optimal stochastic control. Adv. Math. Sci. Appl. 10 (2000) 329-352.
    • (2000) Adv. Math. Sci. Appl. , vol.10 , pp. 329-352
    • Bardi, M.1    Goatin, P.2    Ishii, H.3
  • 5
    • 0003267441 scopus 로고
    • Solutions de viscosité des équations de Hamilton-Jacobi
    • Springer, Paris
    • G. Barles, Solutions de viscosité des équations de Hamilton-Jacobi, Mathématiques et Applications 17. Springer, Paris (1994).
    • (1994) Mathématiques et Applications , vol.17
    • Barles, G.1
  • 6
    • 0001530170 scopus 로고
    • Discontinuous solutions of deterministic optimal stopping time problems
    • G. Barles and B. Perthame, Discontinuous solutions of deterministic optimal stopping time problems. RAIRO: Modél. Math. Anal. Numér. 21 (1987) 557-579.
    • (1987) RAIRO: Modél. Math. Anal. Numér. , vol.21 , pp. 557-579
    • Barles, G.1    Perthame, B.2
  • 7
    • 0024070155 scopus 로고
    • Exit time problems in optimal control and vanishing viscosity method
    • G. Barles and B. Perthame, Exit time problems in optimal control and vanishing viscosity method. SIAM J. Control Optim. 26 (1988) 1133-1148.
    • (1988) SIAM J. Control Optim. , vol.26 , pp. 1133-1148
    • Barles, G.1    Perthame, B.2
  • 8
    • 0003184220 scopus 로고
    • Comparaison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations
    • G. Barles and B. Perthame, Comparaison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations. Appl. Math. Optim. 21 (1990) 21-44.
    • (1990) Appl. Math. Optim. , vol.21 , pp. 21-44
    • Barles, G.1    Perthame, B.2
  • 10
    • 78049400271 scopus 로고
    • Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians
    • E.N. Barron and R. Jensen, Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians. Commun. Partial Diff. Equ. 15 (1990) 1713-1742.
    • (1990) Commun. Partial Diff. Equ. , vol.15 , pp. 1713-1742
    • Barron, E.N.1    Jensen, R.2
  • 11
    • 0031094377 scopus 로고    scopus 로고
    • Deterministic exit time control problems with discontinuous exit costs
    • PII S0363012994267340
    • A. Blanc, Deterministic exit time problems with discontinuous exit cost. SIAM J. Control Optim. 35 (1997) 399-434. (Pubitemid 127577127)
    • (1997) SIAM Journal on Control and Optimization , vol.35 , Issue.2 , pp. 399-434
    • Blanc, A.-P.1
  • 12
    • 77958520253 scopus 로고    scopus 로고
    • Reachability and minimal times for state constrained nonlinear problems without any controllability assumption
    • O. Bokanowski, N. Forcadel and H. Zidani, Reachability and minimal times for state constrained nonlinear problems without any controllability assumption. SIAM J. Control Optim. 48 (2010) 4292-4316.
    • (2010) SIAM J. Control Optim. , vol.48 , pp. 4292-4316
    • Bokanowski, O.1    Forcadel, N.2    Zidani, H.3
  • 13
  • 14
    • 0031192156 scopus 로고    scopus 로고
    • Optimal times for constrained nonlinear control problems without local controllability
    • P. Cardaliaguet, M. Quincampoix and P. Saint-Pierre, Optimal times for constrained nonlinear control problems without local controllability. Appl. Math. Optim. 36 (1997) 21-42. (Pubitemid 127715740)
    • (1997) Applied Mathematics and Optimization , vol.36 , Issue.1 , pp. 21-42
    • Cardaliaguet, P.1    Quincampoix, M.2    Saint-Pierre, P.3
  • 16
    • 85066086057 scopus 로고
    • Lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations
    • H. Frankowska, Lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations. SIAM J. Control Optim. 31 (1993) 257-272.
    • (1993) SIAM J. Control Optim. , vol.31 , pp. 257-272
    • Frankowska, H.1
  • 17
    • 0034668428 scopus 로고    scopus 로고
    • Semicontinuous solutions of Hamilton-Jacobi-Bellman equations with degenerate state constraints
    • H. Frankowska and S. Plaskacz, Semicontinuous solutions of Hamilton-Jacobi-Bellman equations with degenerate state constraints. J. Math. Anal. Appl. 251 (2000) 818-838.
    • (2000) J. Math. Anal. Appl. , vol.251 , pp. 818-838
    • Frankowska, H.1    Plaskacz, S.2
  • 18
    • 0034349449 scopus 로고    scopus 로고
    • Existence of neighboring feasible trajectories: Applications to dynamic programming for state-constrained optimal control problems
    • H. Frankowska and R.B. Vinter, Existence of neighboring feasible trajectories: applications to dynamic programming for state-constrained optimal control problems. J. Optim. Theory Appl. 104 (2000) 21-40.
    • (2000) J. Optim. Theory Appl. , vol.104 , pp. 21-40
    • Frankowska, H.1    Vinter, R.B.2
  • 19
    • 0030107199 scopus 로고    scopus 로고
    • A new formulation of state constraint problems for first-order PDES
    • H. Ishii and S. Koike, A new formulation of state constraint problems for first-order PDEs. SIAM J. Control Optim. 34 (1996) 554-571. (Pubitemid 126564971)
    • (1996) SIAM Journal on Control and Optimization , vol.34 , Issue.2 , pp. 554-571
    • Ishii, H.1    Koike, S.2
  • 20
    • 0029376159 scopus 로고
    • On nonlinear optimal control problems with state constraints
    • M. Motta, 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
  • 21
    • 0022715502 scopus 로고
    • Optimal control with state-space constraint, i
    • H.M. Soner, Optimal control with state-space constraint, I. SIAM J. Control Optim. 24 (1986) 552-561.
    • (1986) SIAM J. Control Optim. , vol.24 , pp. 552-561
    • Soner, H.M.1
  • 22
    • 0022806544 scopus 로고
    • Optimal control with state-space constraint, II
    • H.M. Soner, Optimal control with state-space constraint, II. SIAM J. Control Optim. 24 (1986) 1110-1122.
    • (1986) SIAM J. Control Optim. , vol.24 , pp. 1110-1122
    • Soner, H.M.1
  • 23
    • 0000351902 scopus 로고    scopus 로고
    • Optimality principles and representation formulas for viscosity solutions of Hamilton-Jacobi equations. II. Equations of control problems with state constraints
    • P. Soravia, Optimality principles and representation formulas for viscosity solutions of Hamilton-Jacobi equations. II. Equations of control problems with state constraints. Diff. Int. Equ. 12 (1999) 275-293.
    • (1999) Diff. Int. Equ. , vol.12 , pp. 275-293
    • Soravia, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.