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Volumn 13, Issue 1, 2006, Pages 173-182

A noether theorem on unimprovable conservation laws for vector-valued optimization problems in control theory

Author keywords

isoperimetric constraints; Multicriteria optimal control systems; necessary conditions for unimprovable Pareto optimality; Noether symmetry principle; optimization with vector valued cost

Indexed keywords


EID: 85015559270     PISSN: 1072947X     EISSN: 15729176     Source Type: Journal    
DOI: 10.1515/GMJ.2006.173     Document Type: Article
Times cited : (9)

References (11)
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    • HAMEL, A.H.1
  • 4
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    • LEITMANN, G.1
  • 6
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    • (Translated from the Russian) Mathematics in Science and Engineering, 148. Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London
    • M. E. SALUKVADZE, Vector-valued optimization problems in control theory. (Translated from the Russian) Mathematics in Science and Engineering, 148. Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1979.
    • (1979) Vector-valued optimization problems in control theory.
    • SALUKVADZE, M.E.1
  • 7
    • 84863910689 scopus 로고
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    • (1971) Transport Theory Statist. Phys. , vol.1 , Issue.3 , pp. 183-185
    • TAVEL, M.A.1
  • 8
    • 0038340532 scopus 로고    scopus 로고
    • On the Noether theorem for optimal control.
    • D. F. M. TORRES, On the Noether theorem for optimal control. European J. Control 8(2002), No. 1, 56-63.
    • (2002) European J. Control , vol.8 , Issue.1 , pp. 56-63
    • TORRES, D.F.M.1
  • 9
    • 40649114121 scopus 로고    scopus 로고
    • Integrals of motion for discrete-time optimal control problems.
    • 2003 (Editors: R. Bars, E. Gyurkovics), IFAC Workshop Series
    • D. F. M. TORRES, Integrals of motion for discrete-time optimal control problems. Control Applications of Optimisation, 2003 (Editors: R. Bars, E. Gyurkovics), IFAC Workshop Series, 33-38, 2003.
    • (2003) Control Applications of Optimisation , pp. 33-38
    • TORRES, D.F.M.1
  • 10
    • 84890600959 scopus 로고    scopus 로고
    • The role of symmetry in the regularity properties of optimal controls.
    • 2, 3, Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 50, Part 1, 2, 3, Natsional. Akad. Nauk Ukraïni, Inst. Mat., Kiev
    • D. F. M. TORRES, The role of symmetry in the regularity properties of optimal controls. Symmetry in nonlinear mathematical physics. Part 1, 2, 3, 1488-1495, Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 50, Part 1, 2, 3, Natsional. Akad. Nauk Ukraïni, Inst. Mat., Kiev, 2004.
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    • Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations.
    • D. F. M. TORRES, Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations. Commun. Pure Appl. Anal. 3(2004), No. 3, 491-500
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    • TORRES, D.F.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.