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Volumn 9, Issue 1, 2003, Pages 103-129

Singular trajectories in multi-input time-optimal problems: Application to controlled mechanical systems

Author keywords

Controlled mechanical systems; Maximum principle; Singular extremals; Time optimal problem

Indexed keywords

HAMILTONIANS; LAGRANGE MULTIPLIERS; MATRIX ALGEBRA; MAXIMUM PRINCIPLE; NONLINEAR SYSTEMS; PHASE SPACE METHODS; REMOTELY OPERATED VEHICLES; SUBMERSIBLES; VECTORS;

EID: 0037289153     PISSN: 10792724     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022159318457     Document Type: Article
Times cited : (19)

References (14)
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  • 4
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  • 5
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    • Stability of a bottom-heavy underwater vehicle
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  • 6
    • 0003491827 scopus 로고    scopus 로고
    • The geometry of the maximum principle for affine connection control systems
    • Preprint
    • A. D. Lewis, The geometry of the maximum principle for affine connection control systems. Preprint, 2000.
    • (2000)
    • Lewis, A.D.1
  • 8
    • 0024036664 scopus 로고
    • The local structure of time-optimal trajectories in dimension 3 under generic conditions
    • H. Schaettler, The local structure of time-optimal trajectories in dimension 3 under generic conditions. SIAM J. Control Optim. 26 (1988), No. 4, 899-918
    • (1988) SIAM J. Control Optim. , vol.26 , Issue.4 , pp. 899-918
    • Schaettler, H.1
  • 9
    • 0024930613 scopus 로고
    • Remarks on the time-optimal control of a class of Hamiltonian systems
    • E. D. Sontag, Remarks on the time-optimal control of a class of Hamiltonian systems. In: Proc. IEEE Conf. Decision and Control (1989), 317-221.
    • (1989) Proc. IEEE Conf. Decision and Control , pp. 317-221
    • Sontag, E.D.1
  • 12
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    • The Markov-Dubins problem with angular acceleration control
    • H. J. Sussmann, The Markov-Dubins problem with angular acceleration control. In: Proc. IEEE Conf. Decision and Control (1997), 2639-2643.
    • (1997) Proc. IEEE Conf. Decision and Control , pp. 2639-2643
    • Sussmann, H.J.1
  • 13
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    • The maximum principle of optimal control theory
    • (J. Baillieul and J.C. Willems (eds.)), Springer-Verlag
    • __, The maximum principle of optimal control theory. In: Mathematical Control Theory. (J. Baillieul and J. C. Willems (eds.)), Springer-Verlag, 140-198, 1998.
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    • Sussmann, H.J.1
  • 14
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    • Shortest paths for the Reeds-Shepp car: A worked out example of the use of geometric techniques in nonlinear optimal control
    • H. J. Sussmann and G. Q. Tang, Shortest paths for the Reeds-Shepp car: a worked out example of the use of geometric techniques in nonlinear optimal control. (to appear in SIAM J. Control Optim.).
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    • Sussmann, H.J.1    Tang, G.Q.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.