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Volumn 35, Issue 4, 2006, Pages 831-849

Symbolic computation of variational symmetries in optimal control

Author keywords

Computer algebra systems; First integrals; Gauge term; Noether's theorem; Nonconservative forces; Optimal control; Variational symmetries

Indexed keywords


EID: 34547217996     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (17)

References (16)
  • 1
    • 34547236456 scopus 로고    scopus 로고
    • BONNARD, B., CAILLAU, J.-B. and TRÉLAT, E. (2005) Cotcot: short reference manual. Ecole Nationale Supérieure d'Electronique, d'Electrotechnique d'Informatique, d'Hydraulique et de Télécom, Institut de Recherche en Informatique de Toulouse, Technical Report RT/APO/05/1.
    • BONNARD, B., CAILLAU, J.-B. and TRÉLAT, E. (2005) Cotcot: short reference manual. Ecole Nationale Supérieure d'Electronique, d'Electrotechnique d'Informatique, d'Hydraulique et de Télécom, Institut de Recherche en Informatique de Toulouse, Technical Report RT/APO/05/1.
  • 2
    • 0029373909 scopus 로고
    • A computational approach for the analytical solving of partial differential equations
    • CHEB-TERRAB, E.S. and VON BULOW, K. (1995) A computational approach for the analytical solving of partial differential equations. Computer Physics Communications 90, 102-116.
    • (1995) Computer Physics Communications , vol.90 , pp. 102-116
    • CHEB-TERRAB, E.S.1    VON BULOW, K.2
  • 3
    • 0043254844 scopus 로고
    • Noether's theorem for optimum control systems
    • DJUKIC, D.S. (1973) Noether's theorem for optimum control systems. Internat. J. Control 1 (18), 667-672.
    • (1973) Internat. J. Control , vol.1 , Issue.18 , pp. 667-672
    • DJUKIC, D.S.1
  • 4
    • 34547145132 scopus 로고
    • Noether's theory for nonconservative generalised mechanical systems
    • DJUKIC, D.S. and STRAUSS, A.M. (1980) Noether's theory for nonconservative generalised mechanical systems. J. Phys. A 13 (2), 431-435.
    • (1980) J. Phys. A , vol.13 , Issue.2 , pp. 431-435
    • DJUKIC, D.S.1    STRAUSS, A.M.2
  • 5
    • 34547181215 scopus 로고    scopus 로고
    • Nonconservative Noether's Theorem in Optimal Control
    • FREDERICO, G.S.F. and TORRES, D.F.M. (2007) Nonconservative Noether's Theorem in Optimal Control. Int. J. Tomogr. Stat. 5 (W07), 109-114.
    • (2007) Int. J. Tomogr. Stat , vol.5 , Issue.W07 , pp. 109-114
    • FREDERICO, G.S.F.1    TORRES, D.F.M.2
  • 6
    • 0142027883 scopus 로고    scopus 로고
    • Non-Noether symmetries and conserved quantities of nonconservative dynamical systems
    • FU, JING-LI and CHEN, LI-QUN (2003) Non-Noether symmetries and conserved quantities of nonconservative dynamical systems. J. Phys. Lett. A 317 (3-4), 255-259.
    • (2003) J. Phys. Lett. A , vol.317 , Issue.3-4 , pp. 255-259
    • FU, J.1    CHEN, L.2
  • 7
    • 33847177695 scopus 로고    scopus 로고
    • Computação Algébrica no Cálculo das Variações: Determinação de Simetrias e Leis de Conservação, (in Portuguese)
    • GOUVEIA, P.D.F., and TORRES, D.F.M. (2005a) Computação Algébrica no Cálculo das Variações: Determinação de Simetrias e Leis de Conservação, (in Portuguese). TEMA Tend. Mat. Apl. Comput. 6 (1), 81-90.
    • (2005) TEMA Tend. Mat. Apl. Comput , vol.6 , Issue.1 , pp. 81-90
    • GOUVEIA, P.D.F.1    TORRES, D.F.M.2
  • 8
    • 84967657635 scopus 로고    scopus 로고
    • Automatic Computation of Conservation Laws in the Calculus of Variations and Optimal Control
    • GOUVEIA, P.D.F. and TORRES, D.F.M. (2005b) Automatic Computation of Conservation Laws in the Calculus of Variations and Optimal Control. Comput. Methods Appl. Math. 5 (4), 387-409.
    • (2005) Comput. Methods Appl. Math , vol.5 , Issue.4 , pp. 387-409
    • GOUVEIA, P.D.F.1    TORRES, D.F.M.2
  • 9
    • 0001504634 scopus 로고
    • Invariante Variationsprobleme
    • NOETHER, E. (1918) Invariante Variationsprobleme. Gött. Nachr., 235-257.
    • (1918) Gött. Nachr , pp. 235-257
    • NOETHER, E.1
  • 12
    • 34547204570 scopus 로고    scopus 로고
    • Quadratures of Pontryagin Extremals for Optimal Control Problems
    • ROCHA, E.A.M. and TORRES, D.F.M. (2006) Quadratures of Pontryagin Extremals for Optimal Control Problems. Control & Cybernetics 35 (4), 947-963.
    • (2006) Control & Cybernetics , vol.35 , Issue.4 , pp. 947-963
    • ROCHA, E.A.M.1    TORRES, D.F.M.2
  • 13
    • 0742271504 scopus 로고    scopus 로고
    • Symmetries of flat rank two distributions and subRiemannian structures
    • SACHKOV, YU.L. (2004) Symmetries of flat rank two distributions and subRiemannian structures. Trans. Amer. Math. Soc. 356 (2), 457-494.
    • (2004) Trans. Amer. Math. Soc , vol.356 , Issue.2 , pp. 457-494
    • SACHKOV1    YU.L2
  • 14
    • 0038340532 scopus 로고    scopus 로고
    • On the Noether Theorem for Optimal Control
    • TORRES, D.F.M. (2002) 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
  • 15
    • 33746721022 scopus 로고    scopus 로고
    • Quasi-Invariant Optimal Control Problems
    • N.S
    • TORRES, D.F.M. (2004) Quasi-Invariant Optimal Control Problems. Portugalias Mathematica (N.S.) 61 (1), 97-114.
    • (2004) Portugalias Mathematica , vol.61 , Issue.1 , pp. 97-114
    • TORRES, D.F.M.1
  • 16
    • 33746680542 scopus 로고    scopus 로고
    • Weak Conservation Laws for Minimizers which are not Pontryagin Extremals
    • A.L. Fradkov and A.N. Churilov, eds, August 24-26, IEEE, Saint Petersburg, Russia
    • TORRES, D.F.M. (2005) Weak Conservation Laws for Minimizers which are not Pontryagin Extremals. In: Proc. of the 2005 International Conference "Physics and Control", (PhysCon 2005), A.L. Fradkov and A.N. Churilov, eds., August 24-26, 2005, IEEE, 134-138. Saint Petersburg, Russia.
    • (2005) Proc. of the 2005 International Conference "Physics and Control", (PhysCon 2005) , pp. 134-138
    • TORRES, D.F.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.