메뉴 건너뛰기




Volumn 16, Issue 4, 1999, Pages 335-351

Theorem on existence of neighbouring trajectories satisfying a state constraint, with applications to optimal control

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; CONTROL SYSTEM ANALYSIS; THEOREM PROVING;

EID: 0033284727     PISSN: 02650754     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamci/16.4.335     Document Type: Article
Times cited : (68)

References (15)
  • 2
    • 0004095595 scopus 로고
    • First order necessary conditions in the problem of optimal control of a differential inclusion with phase constraints
    • ARUTYUNOV, A. V., ASEEV, S. M., & BLAGODAT-SKIKH, V. I. B 1994 First order necessary conditions in the problem of optimal control of a differential inclusion with phase constraints. Russian Acad. Sci. Sbornik Math. 79, 117-139.
    • (1994) Russian Acad. Sci. Sbornik Math. , vol.79 , pp. 117-139
    • Arutyunov, A.V.1    Aseev, S.M.2    Blagodat-Skikh, V.I.B.3
  • 3
    • 0029525651 scopus 로고
    • State constraints in optimal control: The degeneracy phenomenon
    • ARUTYUNOV, A. V. & ASEEV, S. M. 1995 State constraints in optimal control: the degeneracy phenomenon. Systems and Control Letters 26, 267-273.
    • (1995) Systems and Control Letters , vol.26 , pp. 267-273
    • Arutyunov, A.V.1    Aseev, S.M.2
  • 4
    • 0031140636 scopus 로고    scopus 로고
    • Investigation of the degeneracy phenomenon on the maximum principle for optimal control problems with state constraints
    • ARUTYUNOV, A. V. & ASEEV, S. M. 1997 Investigation of the degeneracy phenomenon on the maximum principle for optimal control problems with state constraints. SIAM J. Control and Optimization 26, 267-273.
    • (1997) SIAM J. Control and Optimization , vol.26 , pp. 267-273
    • Arutyunov, A.V.1    Aseev, S.M.2
  • 6
    • 0343806981 scopus 로고
    • Local optimally conditions and lipschitzian solutions to the Hamiltonian-Jacobi equation
    • CLARKE, F. H. C. & VINTER, R. B. 1987 Local optimally conditions and Lipschitzian solutions to the Hamiltonian-Jacobi equation. SIAM J. Control and Optimization 25, 1291-1311.
    • (1987) SIAM J. Control and Optimization , vol.25 , pp. 1291-1311
    • Clarke, F.H.C.1    Vinter, R.B.2
  • 7
    • 43949151675 scopus 로고
    • When is the maximum principle for state-constrained problems degenerate?
    • FERREIRA, M. M. A. & VINTER, R. B. 1994 When is the maximum principle for state-constrained problems degenerate? J. Math. Anal. and Applics 187, 432-467.
    • (1994) J. Math. Anal. and Applics , vol.187 , pp. 432-467
    • Ferreira, M.M.A.1    Vinter, R.B.2
  • 8
    • 0003239028 scopus 로고
    • Optimal control via nonsmooth analysis
    • American Mathematical Society, Providence
    • LOEWEN, P. D. 1993 Optimal control via nonsmooth analysis. CRM Proceedings and Lecture Notes. American Mathematical Society, Providence.
    • (1993) CRM Proceedings and Lecture Notes
    • Loewen, P.D.1
  • 10
    • 0000551562 scopus 로고
    • Generalized differential calculus for nonsmooth and set-valued mappings
    • MORDUKHOVICH, B. S. 1994 Generalized differential calculus for nonsmooth and set-valued mappings. J. Math. Anal. and Applics. 183, 250-282.
    • (1994) J. Math. Anal. and Applics. , vol.183 , pp. 250-282
    • Mordukhovich, B.S.1
  • 12
  • 13
    • 0027595416 scopus 로고
    • Dynamic optimization problems with free time and active state constraints
    • ROWLAND, J. D. L. & VINTER, R. B. 1993 Dynamic optimization problems with free time and active state constraints. SIAM J. Control and Optimization 31, 677-697.
    • (1993) SIAM J. Control and Optimization , vol.31 , pp. 677-697
    • Rowland, J.D.L.1    Vinter, R.B.2
  • 14
    • 0022715502 scopus 로고
    • Optimal control with state-space constraints
    • SONER, H. M 1986 Optimal control with state-space constraints. SIAM J. Control and Optimization 24, 552-561.
    • (1986) SIAM J. Control and Optimization , vol.24 , pp. 552-561
    • Soner, H.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.