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Tytuł artykułu

Time-optimal control of infinite order hyperbolic systems with time delays

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EN
Abstrakty
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In this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations and in boundary conditions is considered. Optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang. These results extend to certain cases of nonlinear control problems. The particular properties of optimal control are discussed.
Twórcy
  • Institute of Automatics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Cracow, Poland
Bibliografia
  • [1] Casting, C. (1967). Sur les multi-applications measurables, Revue Francaise d'Informatique et de Recherche Operationelle 1: 91-126.
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  • [3] Dubinskij, J. A. (1975). Sobolev spaces of infinite order and behavior of solution of some boundary value problems with unbounded increase of the order of the equation, Matiematiczeskii Sbornik 98: 163-184.
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  • [11] Kowalewski, A. (1993b). Optimal control of hyperbolic system with time lags, Applied Mathematics and Computer Science 3(4): 687-697.
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  • [15] Kowalewski, A. (2003). Time-optimal control problem of hyperbolic systems with deviating arguments, International Journal of Control 76: 557-565.
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Bibliografia
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bwmeta1.element.baztech-article-BPZ1-0056-0017
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