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Volumn 17, Issue 2, 2000, Pages 167-178

Upwind finite-difference method for the approximation of viscosity solutions to Hamilton-Jacobi-Bellman equations

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONSTRAINT THEORY; FEEDBACK CONTROL; FINITE DIFFERENCE METHOD; PROBLEM SOLVING;

EID: 0033719001     PISSN: 02650754     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamci/17.2.167     Document Type: Article
Times cited : (58)

References (11)
  • 2
    • 84967758647 scopus 로고
    • Viscosity solutions of Hamilton - Jacobi equations
    • CRANDALL, M. G. & LIONS, P. L. 1983 Viscosity solutions of Hamilton - Jacobi equations. Trans AMS 277, 1-42.
    • (1983) Trans AMS , vol.277 , pp. 1-42
    • Crandall, M.G.1    Lions, P.L.2
  • 3
    • 84968507121 scopus 로고
    • Some properties of viscosity solutions of Hamilton - Jacobi equations
    • CRANDALL, M. G.,EVANS, L. C., & LIONS, P. L. 1984 Some properties of viscosity solutions of Hamilton - Jacobi equations. Trans AMS 282, 487-502.
    • (1984) Trans AMS , vol.282 , pp. 487-502
    • Crandall, M.G.1    Evans, L.C.2    Lions, P.L.3
  • 4
    • 0016092731 scopus 로고
    • On the variational principle
    • EKELAND, I. 1974 On the variational principle. J. Math. Anal. Appl. 47, 324-353.
    • (1974) J. Math. Anal. Appl. , vol.47 , pp. 324-353
    • Ekeland, I.1
  • 5
    • 0004232356 scopus 로고
    • Generalised solutions of hamilton-Jacobi equations
    • LIONS, P. L. 1982 Generalised solutions of Hamilton-Jacobi equations. Pitman Research Notes in Mathematics, vol. 69.
    • (1982) Pitman Research Notes in Mathematics , vol.69
    • Lions, P.L.1
  • 6
    • 0001866020 scopus 로고
    • On a new principle of superposition for optimisation problems
    • MASLOV, V. P. 1987 On a new principle of superposition for optimisation problems. Russ. Maths Surv. 42(3) 43-84.
    • (1987) Russ. Maths Surv. , vol.42 , Issue.3 , pp. 43-84
    • Maslov, V.P.1
  • 9
    • 0025432736 scopus 로고
    • Maximum principle, dynamic programming and their connection in deterministic control
    • ZHOU, X. Y. 1990 Maximum principle, dynamic programming and their connection in deterministic control. J. Optim. Theory Appl. 65, 363-373.
    • (1990) J. Optim. Theory Appl. , vol.65 , pp. 363-373
    • Zhou, X.Y.1
  • 10
    • 38248999039 scopus 로고
    • Verification theorems within the framework of viscosity solutions
    • ZHOU, X. Y. 1993 Verification theorems within the framework of viscosity solutions. J. Math. Analy. Appl. 177, 208-225.
    • (1993) J. Math. Analy. Appl. , vol.177 , pp. 208-225
    • Zhou, X.Y.1
  • 11
    • 38248999039 scopus 로고
    • A sufficient condition for near optimal stochastic controls and its applications to manufacturing systems
    • ZHOU, X. Y. & SETHI S. 1993 A sufficient condition for near optimal stochastic controls and its applications to manufacturing systems. J. Appl. Math. Optim. 177, 208-225.
    • (1993) J. Appl. Math. Optim. , vol.177 , pp. 208-225
    • Zhou, X.Y.1    Sethi, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.