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Volumn 36, Issue 2, 1999, Pages 143-149

On the curves that may be approached by trajectories of a smooth control affine system

Author keywords

Approximate path planning; Diffusion processes; Nonlinear control systems; Support theorem; Trajectography

Indexed keywords


EID: 0000675745     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(98)00086-3     Document Type: Article
Times cited : (13)

References (10)
  • 2
    • 0001287823 scopus 로고
    • Nonlinear controllability via Lie theory
    • G.W. Haynes, H. Hermes, Nonlinear controllability via Lie theory, SIAM J. Control 8 (1970) 450-460.
    • (1970) SIAM J. Control , vol.8 , pp. 450-460
    • Haynes, G.W.1    Hermes, H.2
  • 4
    • 0000525585 scopus 로고
    • Iterated Lie brackets in limit processes in ordinary differential equations
    • J. Kurzweil, J. Jarnik, Iterated Lie brackets in limit processes in ordinary differential equations, Results Math. 14 (1988) 125-137.
    • (1988) Results Math. , vol.14 , pp. 125-137
    • Kurzweil, J.1    Jarnik, J.2
  • 5
    • 0031188409 scopus 로고    scopus 로고
    • An approximation algorithm for nonholonomic systems
    • W. Liu, An approximation algorithm for nonholonomic systems, SIAM J. Control Optim. 35 (1997) 1328-1365.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 1328-1365
    • Liu, W.1
  • 6
    • 0013198016 scopus 로고
    • A simple proof of the support theorem for diffusion processes
    • Séminaire de Probabilité 28, Springer, Berlin
    • A. Millet, M. Sanz-Solé, A simple proof of the support theorem for diffusion processes, in: Séminaire de Probabilité 28, Lecture Notes in Math., vol. 1583, Springer, Berlin 1994.
    • (1994) Lecture Notes in Math. , vol.1583
    • Millet, A.1    Sanz-Solé, M.2
  • 7
    • 85034549320 scopus 로고
    • Nonlinear control systems: Topological properties of trajectory space
    • B. Bonnard, B. Bride, J.-P. Gauthier, I.A.K. Kupka (Eds.), Birkäuser, Basel, (Proc. Conf, Lyon, France, July 1990)
    • A.V. Sarychev, Nonlinear control systems: Topological properties of trajectory space, in: B. Bonnard, B. Bride, J.-P. Gauthier, I.A.K. Kupka (Eds.), Analysis of Controlled Dynamical Systems, Progress in Systems and Control Theory, vol. 8, Birkäuser, Basel, 1991, pp. 358-371 (Proc. Conf, Lyon, France, July 1990).
    • (1991) Analysis of Controlled Dynamical Systems, Progress in Systems and Control Theory , vol.8 , pp. 358-371
    • Sarychev, A.V.1
  • 9
    • 0000395295 scopus 로고
    • On the support of diffusion processes with applications to the strong maximum principle
    • Probability Theory, California University Press, California
    • D.W. Stroock, S.R.S. Varadhan, On the support of diffusion processes with applications to the strong maximum principle, Proc. 6th Berkeley Symp. on Math. Stat. and Prob., vol. III, Probability Theory, California University Press, California, 1972, pp. 333-359.
    • (1972) Proc. 6th Berkeley Symp. on Math. Stat. and Prob. , vol.3 , pp. 333-359
    • Stroock, D.W.1    Varadhan, S.R.S.2
  • 10
    • 0026673740 scopus 로고
    • Limits of highly oscillatory controls and approximation of general paths by admissible trajectories
    • December
    • H.J. Sussmann, W. Liu, Limits of highly oscillatory controls and approximation of general paths by admissible trajectories, 30th IEEE Conf. on Dec. and Control, December 1991.
    • (1991) 30th IEEE Conf. on Dec. and Control
    • Sussmann, H.J.1    Liu, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.