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Volumn 43, Issue 3, 2005, Pages 1037-1062

The approximate maximum principle in constrained optimal control

Author keywords

Approximate maximum principle; Discrete approximations; Lower and upper subgradients; Nonsmooth and variational analysis; Optimal control; Stability under perturbations; Time delays

Indexed keywords

APPROXIMATE MAXIMUM PRINCIPLE; DISCRETE APPROXIMATIONS; LOWER AND UPPER SUBGRADIENTS; NONSMOOTH AND VARIATIONAL ANALYSIS; STABILITY UNDER PERTURBATIONS; TIME DELAYS;

EID: 19944409337     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012903433012     Document Type: Article
Times cited : (18)

References (16)
  • 2
    • 19944388159 scopus 로고
    • On the extension of the maximum principle by L. S. Pontryagin to discrete systems
    • in Russian
    • R. GABASOV AND F. M. KIRILLOVA, On the extension of the maximum principle by L. S. Pontryagin to discrete systems, Avtomat. i Telemekh., 27 (1966), pp. 46-61 (in Russian);
    • (1966) Avtomat. I Telemekh. , vol.27 , pp. 46-61
    • Gabasov, R.1    Kirillova, F.M.2
  • 3
    • 19944373302 scopus 로고
    • in English
    • Autom. Remote Control, 27 (1966), pp. 1878-1882 (in English).
    • (1966) Autom. Remote Control , vol.27 , pp. 1878-1882
  • 5
    • 38249032546 scopus 로고
    • Approximate maximum principle for finite-difference control systems
    • B. S. MORDUKHOVICH, Approximate maximum principle for finite-difference control systems, Comput. Math. Math. Phys., 28 (1988), pp. 106-114.
    • (1988) Comput. Math. Math. Phys. , vol.28 , pp. 106-114
    • Mordukhovich, B.S.1
  • 7
    • 0029307052 scopus 로고
    • Discrete approximations and refined Euler-Lagrange conditions for nonconvex differential inclusions
    • B. S. MORDUKHOVICH, Discrete approximations and refined Euler-Lagrange conditions for nonconvex differential inclusions, SIAM J. Control Optim., 33 (1995), pp. 882-915.
    • (1995) SIAM J. Control Optim. , vol.33 , pp. 882-915
    • Mordukhovich, B.S.1
  • 8
    • 3943069053 scopus 로고    scopus 로고
    • Necessary conditions in nonsmooth minimization via lower and upper subgradients
    • B. S. MORDUKHOVICH, Necessary conditions in nonsmooth minimization via lower and upper subgradients, Set-Valued Anal., 12 (2004), pp. 163-193.
    • (2004) Set-valued Anal. , vol.12 , pp. 163-193
    • Mordukhovich, B.S.1
  • 9
    • 23044533306 scopus 로고    scopus 로고
    • Discrete maximum principle for nonsmooth optimal control problems with delays
    • B. S. MORDUKHOVICH AND I. SHVARTSMAN, Discrete maximum principle for nonsmooth optimal control problems with delays, Cybernet. Systems Anal., 38 (2002), pp. 255-264.
    • (2002) Cybernet. Systems Anal. , vol.38 , pp. 255-264
    • Mordukhovich, B.S.1    Shvartsman, I.2
  • 15
    • 0004284115 scopus 로고    scopus 로고
    • Birkhäuser Boston, Boston, MA
    • R. B. VINTER, Optimal Control, Birkhäuser Boston, Boston, MA, 2000.
    • (2000) Optimal Control
    • Vinter, R.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.