메뉴 건너뛰기




Volumn 36, Issue 8, 2003, Pages 33-38

Integrals of motion for discrete-time Optimal Control problems

Author keywords

Discrete time calculus of variations; Discrete time optimal control; Discrete time Pontryagin extremals; Discrete version of Noether's theorem; Quasi invariance up to difference gauge terms

Indexed keywords

CALCULATIONS; CONTROL SYSTEM SYNTHESIS; OPTIMAL CONTROL SYSTEMS;

EID: 40649114121     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1016/S1474-6670(17)35756-7     Document Type: Conference Paper
Times cited : (5)

References (23)
  • 1
    • 36149072604 scopus 로고
    • Noether's theorem in generalised mechanics
    • Anderson, Dan (1973). Noether's theorem in generalised mechanics. J. Phys. A 6, 299-305.
    • (1973) J. Phys. A , vol.6 , pp. 299-305
    • Dan, A.1
  • 3
    • 0002030120 scopus 로고
    • An algebraic approach to discrete mechanics
    • Baez, John C. and James W. Gilliam (1994). An algebraic approach to discrete mechanics. Lett. Math. Phys. 31(3), 205-212.
    • (1994) Lett. Math. Phys. , vol.31 , Issue.3 , pp. 205-212
    • Baez John, C.1    Gilliam, J.W.2
  • 6
    • 0141702747 scopus 로고    scopus 로고
    • Optimal control and implicit Hamil-tonian systems
    • Springer, London
    • Blankenstein, Guido and Arjan van der Schaft (2001). Optimal control and implicit Hamil-tonian systems. In; Nonlinear control in the year 2000. Vol. 1 (Parts), pp. 185-205. Springer, London.
    • (2001) Nonlinear Control in the Year 2000. , vol.1 , pp. 185-205
    • Guido, B.1    Van Der Schaft, A.2
  • 7
    • 0014759217 scopus 로고
    • Discrete calculus of variations
    • Cadzow, J. A. (1970). Discrete calculus of variations. Mi. J. Control, I. Ser. 11, 393-407.
    • (1970) Mi J. Control, I. Ser. , vol.11 , pp. 393-407
    • Cadzow, J.A.1
  • 8
    • 0001671579 scopus 로고
    • A geometrical version of Noether's theorem in superrnechanics
    • Carìnena, José F. and Hector Figueroa (1994). A geometrical version of Noether's theorem in superrnechanics. Rep. Math. Phys. 34(3), 277-303.
    • (1994) Rep. Math. Phys. , vol.34 , Issue.3 , pp. 277-303
    • Carìnena José, F.1    Figueroa, H.2
  • 9
    • 0001434067 scopus 로고    scopus 로고
    • Discrete optimal control: The accessory problem and necessary optimality conditions
    • Hilscher, Roman and Vera Zeidan (2000). Discrete optimal control: the accessory problem and necessary optimality conditions. J. Math. Anal. Appl 243(2), 429-452.
    • (2000) J. Math. Anal. Appl , vol.243 , Issue.2 , pp. 429-452
    • Roman, H.1    Zeidan, V.2
  • 10
    • 0040827065 scopus 로고
    • First integrals in the discrete variational calculus
    • Logan, John David (1973a). First integrals in the discrete variational calculus. Aequationes Math. 9, 210-220.
    • (1973) Aequationes Math. , vol.9 , pp. 210-220
    • David, L.J.1
  • 11
    • 0015586930 scopus 로고
    • Higher dimensional problems in the discrete calculus of variations
    • Logan, John David (1973). Higher dimensional problems in the discrete calculus of variations. Internat. J. Control (1) 17, 315-320.
    • (1973) Internat. J. Control , vol.17 , Issue.1 , pp. 315-320
    • David, L.J.1
  • 12
    • 85064490810 scopus 로고
    • Academic Press (Harcourt. Brace Jovanovich Publishers). New York
    • Logan, John David (1977). Invariant variational principles. Academic Press (Harcourt. Brace Jovanovich Publishers). New York.
    • (1977) Invariant Variational Principles
    • David, L.J.1
  • 14
    • 36149043099 scopus 로고
    • Dynamical symmetries and conserved quantities
    • Lutzky, M, (1979). Dynamical symmetries and conserved quantities, J. Phys. A: Math. Gen. 12(7), 973-981.
    • (1979) J. Phys. A: Math. Gen. , vol.12 , Issue.7 , pp. 973-981
    • Lutzky, M.1
  • 15
    • 0001894253 scopus 로고
    • Extension of discrete Noether theorem
    • Maeda, Shigeru (1981). Extension of discrete Noether theorem. Math. Japan. 26(1), 85-90.
    • (1981) Math. Japan. , vol.26 , Issue.1 , pp. 85-90
    • Shigeru, M.1
  • 16
    • 0021500798 scopus 로고
    • The discrete-time maximum principle: A survey and some new results
    • Nahorski, Zbigniew, Hans F. Ravn and René Victor Valqui Vidal (1984). The discrete-time maximum principle: a survey and some new results. Miernni. Control 40 (3), 533-554.
    • (1984) Miernni Control , vol.40 , Issue.3 , pp. 533-554
    • Zbigniew, N.1    Ravn, H.F.2    Vidal, R.3
  • 18
    • 0001003724 scopus 로고
    • Generalizations of Noether's theorem in classical mechanics
    • Sarlet, Willy and Frans Cantrijn (1981). Generalizations of Noether's theorem in classical mechanics. SIAM Rev. 23(4), 467-494.
    • (1981) SIAM Rev. , vol.23 , Issue.4 , pp. 467-494
    • Willy, S.1    Cantrijn, F.2
  • 19
    • 0003509246 scopus 로고    scopus 로고
    • second ed. Kluwer Academic Publishers. Boston, MA. Applications to management science and economics
    • Sethi, Suresh P. and Gerald L. Thompson (2000). Optimal control theory, second ed. Kluwer Academic Publishers. Boston, MA. Applications to management science and economics.
    • (2000) Optimal Control Theory
    • Sethi Suresh, P.1    Thompson, G.L.2
  • 20
    • 0032134425 scopus 로고    scopus 로고
    • Nonholonomic Noether theorem and reduction of symmetries
    • Sniatycki, Jedrzej (1998). Nonholonomic Noether theorem and reduction of symmetries. Rep. Math. Phys. 42(1-2), 5-23.
    • (1998) Rep. Math. Phys. , vol.42 , Issue.1-2 , pp. 5-23
    • Jedrzej, S.1
  • 22
    • 0038340532 scopus 로고    scopus 로고
    • On the Noether theorem for optimal control
    • Torres, D. F. M. (20026). On the Noether theorem for optimal control. European Journal of Control 8(1), 56-63.
    • (2002) European Journal of Control , vol.8 , Issue.1 , pp. 56-63
    • Torres, D.F.M.1
  • 23
    • 0002361909 scopus 로고
    • Symmetries and conservation laws for Hamiltonian systems with inputs and outputs: A generalization of Noether's theorem
    • Van Der Schaft, Arjan (1981/82). Symmetries and conservation laws for Hamiltonian systems with inputs and outputs: a generalization of Noether's theorem. Systems Contivi Lett. 1(2), 108-115
    • (1981) Systems Contivi Lett. , vol.1 , Issue.2 , pp. 108-115
    • Van Der Schaft Arjan1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.