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Volumn , Issue , 2008, Pages 300-326

Strong Optimality of Singular Trajectories

Author keywords

Hamiltonian methods; Second variation; Singular control; Sufficient conditions

Indexed keywords


EID: 85130965342     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812776075_0018     Document Type: Chapter
Times cited : (12)

References (21)
  • 1
    • 0009491442 scopus 로고    scopus 로고
    • Symplectic methods for optimization and control
    • eds. B. Jacubczyk and W. Respondek, Monogr. Textbooks Pure Appl. Math. Vol, Dekker, New York, pp
    • A. A. Agrachev and R. V. Gamkrelidze, Symplectic methods for optimization and control, in Geometry of Feedback and Optimal Control, eds. B. Jacubczyk and W. Respondek, Monogr. Textbooks Pure Appl. Math. Vol. 207 (Dekker, New York, 1998), pp. 19-77.
    • (1998) Geometry of Feedback and Optimal Control , vol.207 , pp. 19-77
    • Agrachev, A.A.1    Gamkrelidze, R.V.2
  • 6
    • 0003978095 scopus 로고
    • ranslated from the Russian by K. Vogtmann and A. Weinstein, Vol, second edition Springer-Verlag, New York
    • V. I. Arnold, Mathematical methods of classical mechanics. Translated from the Russian by K. Vogtmann and A. Weinstein. Graduate Texts in Mathematics, Vol. 60, second edition (Springer-Verlag, New York, 1989).
    • (1989) Mathematical Methods of Classical Mechanics , vol.60
    • Arnold, V.I.1
  • 8
    • 85130937595 scopus 로고
    • A.V. Dmitruk, Dokl. Akad. Nauk SSSR 272, 285 (1983) [in Russian], English translation: Soviet Math. Dokl. 28, 275 (1983).
    • (1983) Dokl. Akad. Nauk SSSR , vol.28 , pp. 275
    • Dmitruk, A.V.1
  • 14
    • 0003643366 scopus 로고
    • A basic exposition of classical mechanical systems
    • Vol, Springer-Verlag, New York
    • J.E. Marsden and T.S. Ratiu, Introduction to Mechanics and Symmetry, A basic exposition of classical mechanical systems. Texts in Applied Mathematics, Vol. 17, (Springer-Verlag, New York, 1994).
    • (1994) Introduction to Mechanics and Symmetry , vol.17
    • Marsden, J.E.1    Ratiu, T.S.2
  • 17
    • 84867437839 scopus 로고    scopus 로고
    • Minimum time optimality of a partially singular arc: Second order sufficient conditions
    • eds. F. Bullo and K. Fujimoto, Lecture Notes in Control and Inform. Sci., Vol, Springer, Berlin, pp
    • L. Poggiolini and G. Stefani, Minimum time optimality of a partially singular arc: second order sufficient conditions, in Lagrangian and Hamiltonian Methods for Nonlinear Control 2006, eds. F. Bullo and K. Fujimoto, Lecture Notes in Control and Inform. Sci., Vol. 366 (Springer, Berlin, 2006), pp. 281-291.
    • (2006) Lagrangian and Hamiltonian Methods for Nonlinear Control 2006 , vol.366 , pp. 281-291
    • Poggiolini, L.1    Stefani, G.2
  • 18
    • 1542318597 scopus 로고    scopus 로고
    • On sufficient optimality conditions for a singular extremal
    • Proc. 42nd Maui, Hawaii
    • G. Stefani, On sufficient optimality conditions for a singular extremal, in Proc. 42nd IEEE Conf. Decision and Control (Maui, Hawaii, 2003): 2746-2749.
    • (2003) IEEE Conf. Decision and Control , pp. 2746-2749
    • Stefani, G.1
  • 19
    • 14344255957 scopus 로고    scopus 로고
    • Minimum-time optimality of a singular arc: Second order sufficient conditions
    • Atlantis, Paradise Island, Bahamas
    • G. Stefani, Minimum-time optimality of a singular arc: second order sufficient conditions, in Proc. 43rd IEEE Conf. Decision and Control (Atlantis, Paradise Island, Bahamas, 2004): 450-454.
    • (2004) Proc. 43Rd IEEE Conf. Decision and Control , pp. 450-454
    • Stefani, G.1
  • 21
    • 85130961496 scopus 로고
    • Systems & control: Foundations & applications
    • With applications to astronautics, robotics, economics, and engineering, (Birkhauser Boston Inc., Boston, MA
    • M. I. Zelikin and V. F. Borizov, Theory of Chattering Control, With applications to astronautics, robotics, economics, and engineering. Systems & Control: Foundations & Applications (Birkhauser Boston Inc., Boston, MA, 1994).
    • (1994) Theory of Chattering Control
    • Zelikin, M.I.1    Borizov, V.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.