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Volumn 35, Issue 4, 2006, Pages 947-963

Quadratures of Pontryagin extremals for optimal control problems

Author keywords

Integrability by quadratures; Kozlov Kolesnikov integrability; Noether's symmetry theorem; Optimal control

Indexed keywords


EID: 34547204570     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (4)

References (17)
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    • (1993) Dynamical systems , vol.3
    • ARNOLD, V.I.1    KOZLOV, V.V.2    NEǏ SHTADT, A.I.3
  • 3
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    • BONNARD, B., CHYBA, M. and TRELAT, E. (1998) Sub-Riemannian geometry, one-parameter deformation of the Martinet flat case. J. Dynam. Control Systems 4, 59-76.
    • (1998) J. Dynam. Control Systems , vol.4 , pp. 59-76
    • BONNARD, B.1    CHYBA, M.2    TRELAT, E.3
  • 5
    • 0043254844 scopus 로고
    • Noether's theorem for optimum control systems
    • DJUKIC, D.S. (1973) Noether's theorem for optimum control systems. Internat. J. Control 18 (1), 667-672.
    • (1973) Internat. J. Control , vol.18 , Issue.1 , pp. 667-672
    • DJUKIC, D.S.1
  • 6
    • 34547172576 scopus 로고
    • Teaching Model: Backing up Trailers
    • Technical report, Faculty of Electrical Engineering, Department of Control Engineering, Charles University, Prague
    • FUKA, J. and SUSTA, R. (1992) Teaching Model: Backing up Trailers. Technical report, Faculty of Electrical Engineering, Department of Control Engineering, Charles University, Prague.
    • (1992)
    • FUKA, J.1    SUSTA, R.2
  • 8
    • 34547217996 scopus 로고    scopus 로고
    • Symbolic computation of variational symmetries in optimal control
    • GOUVEIA, P.D.F., TORRES, D.F.M. and ROCHA, E.A.M. (2006) Symbolic computation of variational symmetries in optimal control. Control and Cybernetics 35 (4), 831-849.
    • (2006) Control and Cybernetics , vol.35 , Issue.4 , pp. 831-849
    • GOUVEIA, P.D.F.1    TORRES, D.F.M.2    ROCHA, E.A.M.3
  • 10
    • 23844466175 scopus 로고    scopus 로고
    • Optimal control problems and Riccati equations for systems with unbounded controls and partially analytic generators-applications to boundary and point control problems
    • LASIECKA, I. (2004) Optimal control problems and Riccati equations for systems with unbounded controls and partially analytic generators-applications to boundary and point control problems. Functional analytic methods for evolution equations, 313-369.
    • (2004) Functional analytic methods for evolution equations , pp. 313-369
    • LASIECKA, I.1
  • 11
    • 34547155966 scopus 로고    scopus 로고
    • MARTIN, PH., MURRAY, R.M. and ROUCHON, P. (2002) Flat systems. Mathematical Control Theory, Part 1, 705-768 (electronic).
    • MARTIN, PH., MURRAY, R.M. and ROUCHON, P. (2002) Flat systems. Mathematical Control Theory, Part 1, 705-768 (electronic).
  • 13
    • 34547209594 scopus 로고    scopus 로고
    • Translated from the German (Nachr. Akad. Wiss. Gottingen Math.-Phys. II 1918, 235-257).
    • Translated from the German (Nachr. Akad. Wiss. Gottingen Math.-Phys. II 1918, 235-257).
  • 14
    • 34547185383 scopus 로고    scopus 로고
    • PONTRYAGIN, L.S., BOLTYANSKII, V.G., GAMKRELIDZE, R.V. and MISHCHENKO, E.F. (1962) The Mathematical Theory of Optimal Processes. Translated from the Russian by K.N. Trirogoff; edited by L.W. Neustadt, Interscience Publishers John Wiley & Sons, Inc. New York-London.
    • PONTRYAGIN, L.S., BOLTYANSKII, V.G., GAMKRELIDZE, R.V. and MISHCHENKO, E.F. (1962) The Mathematical Theory of Optimal Processes. Translated from the Russian by K.N. Trirogoff; edited by L.W. Neustadt, Interscience Publishers John Wiley & Sons, Inc. New York-London.
  • 15
    • 0742271504 scopus 로고    scopus 로고
    • Symmetries of flat rank two distributions and sub-Riemannian structures
    • electronic
    • SACHKOV, Y.L. (2004) Symmetries of flat rank two distributions and sub-Riemannian structures. Trans. Amer. Math. Soc. 356 (2), 457-494 (electronic).
    • (2004) Trans. Amer. Math. Soc , vol.356 , Issue.2 , pp. 457-494
    • SACHKOV, Y.L.1
  • 16
    • 84968475624 scopus 로고
    • Orbits of families of vector fields and integrability of distributions
    • SUSSMANN, H.J. (1973) Orbits of families of vector fields and integrability of distributions. Trans. Amer. Math. Soc. 180, 171-188.
    • (1973) Trans. Amer. Math. Soc , vol.180 , pp. 171-188
    • SUSSMANN, H.J.1
  • 17
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    • Conservation laws in optimal control
    • Kloster Irsee
    • TORRES, D.F.M. (2002) Conservation laws in optimal control. Dynamics, bifurcations, and control (Kloster Irsee, 2001), 287-296.
    • (2001) Dynamics, bifurcations, and control , pp. 287-296
    • TORRES, D.F.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.