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Volumn 34, Issue 3, 2005, Pages 787-803

Optimal synthesis via superdifferentials of value function

Author keywords

Differential inclusion; Hamilton Jacobi equation; Mayer problem; Optimal synthesis; Semiconcave function; Viability theory; Viscosity solution

Indexed keywords


EID: 31544449995     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper
Times cited : (8)

References (14)
  • 1
    • 0004243911 scopus 로고
    • Birkhäuser, Boston, Basel, Berlin
    • AUBIN, J.-P. (1991) Viability Theory. Birkhäuser, Boston, Basel, Berlin.
    • (1991) Viability Theory
    • Aubin, J.-P.1
  • 6
    • 0026254228 scopus 로고
    • Some characterizations of optimal trajectories in control theory
    • CANNARSA, P. and FRANKOWSKA, H. (1991) Some characterizations of optimal trajectories in control theory. SIAM J. on Control and Optimization 29, 1322-1347.
    • (1991) SIAM J. on Control and Optimization , vol.29 , pp. 1322-1347
    • Cannarsa, P.1    Frankowska, H.2
  • 7
    • 0034562493 scopus 로고    scopus 로고
    • Optimality conditions and synthesis for the minimum time problem
    • CANNARSA, P., FRANKOWSKA, H. and SINESTRARI, C. (2000) Optimality conditions and synthesis for the minimum time problem. J. Set-Valued Analysis 8, 127-148.
    • (2000) J. Set-valued Analysis , vol.8 , pp. 127-148
    • Cannarsa, P.1    Frankowska, H.2    Sinestrari, C.3
  • 10
    • 0024481142 scopus 로고
    • Contingent cones to reachable sets of control systems
    • FRANKOWSKA, H. (1989a) Contingent cones to reachable sets of control systems. SIAM J. on Control and Optimization 27, 170-198.
    • (1989) SIAM J. on Control and Optimization , vol.27 , pp. 170-198
    • Frankowska, H.1
  • 11
    • 0001391958 scopus 로고
    • Optimal trajectories associated to a solution of contingent Hamilton-Jacobi equations
    • FRANKOWSKA, H. (1989b) Optimal trajectories associated to a solution of contingent Hamilton-Jacobi equations. Applied Mathematics and Optimization 19, 291-311.
    • (1989) Applied Mathematics and Optimization , vol.19 , pp. 291-311
    • Frankowska, H.1
  • 12
    • 0001756668 scopus 로고
    • On lower semicontinuity of integral functionals
    • IOFFE, A.D. (1977) On lower semicontinuity of integral functionals. SIAM J. Control Optim. 15, 521-521 and 991-1000.
    • (1977) SIAM J. Control Optim. , vol.15 , pp. 521-521
    • Ioffe, A.D.1
  • 13
    • 0016952427 scopus 로고
    • Weak lower semicontinuity of integral functionals
    • OLECH, C. (1976) Weak lower semicontinuity of integral functionals. J. Optim. Theory Appl. 19, 3-16.
    • (1976) J. Optim. Theory Appl. , vol.19 , pp. 3-16
    • Olech, C.1
  • 14
    • 0024927201 scopus 로고
    • The maximum principle and the superdifferential of the value function
    • SUBBOTINA, N.N. (1989) The maximum principle and the superdifferential of the value function. Problems of Control and Information Theory 18, 151-160
    • (1989) Problems of Control and Information Theory , vol.18 , pp. 151-160
    • Subbotina, N.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.