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  • Nonlinear time-lag systems  (2)
  • control parametrization  (2)
  • 1
    Digitale Medien
    Digitale Medien
    Springer
    Journal of optimization theory and applications 53 (1987), S. 461-474 
    ISSN: 1573-2878
    Schlagwort(e): Nonlinear time-lag systems ; linear control constraints ; nonlinear terminal inequality constraints ; feasible direction methods ; accumulation points ; relaxed controls ; relaxed control problems ; necessary conditions for optimality
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract In this paper, we consider a class of time-lag optimal control problems involving control and terminal inequality constraints. A feasible direction algorithm has been obtained by Teo, Wong, and Clements for solving this class of optimal control problems. It was shown that anyL ∞ accumulation points of the sequence of controls generated by the algorithm satisfy a necessary condition for optimality. However, suchL ∞ accumulation points need not exist. The aim of this paper is to prove a convergence result, which ensures that the sequence of controls generated by the algorithm always has accumulation points in the sense of control measure, and these accumulation points satisfy a necessary condition for optimality for the corresponding relaxed problem.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    Springer
    Journal of optimization theory and applications 46 (1985), S. 295-317 
    ISSN: 1573-2878
    Schlagwort(e): Nonlinear time-lag systems ; linear control constraints ; nonlinear terminal inequality constraints ; conditional gradient methods ; feasible direction methods ; control parametrization ; initial feasible control ; computational schemes ; finite convergence
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract A computational algorithm for a class of time-lag optimal control problems involving control and terminal inequality constraints is presented. The convergence properties of the algorithm is also investigated. To test the algorithm, an example is solved.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 3
    Digitale Medien
    Digitale Medien
    Springer
    Journal of optimization theory and applications 82 (1994), S. 295-313 
    ISSN: 1573-2878
    Schlagwort(e): Optimal control ; delay-differential equations ; continuous inequality state constraints ; terminal inequality state constraints ; terminal equality state constraints ; control parametrization
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract A computational algorithm for solving a class of optimal control problems involving terminal and continuous state constraints of inequality type was developed in Ref. 1. In this paper, we extend the results of Ref. 1 to a more general class of constrained time-delayed optimal control problems, which involves terminal state equality constraints as well as terminal state inequality constraints and continuous state constraints. Two examples have been solved to illustrate the efficiency of the method.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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