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2006 | 16 | 4 | 431-440

Tytuł artykułu

A quadratic optimal control problem for a class of linear discrete distributed systems

Treść / Zawartość

Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
A linear quadratic optimal control problem for a class of discrete distributed systems is analyzed. To solve this problem, we introduce an adequate topology and establish that optimal control can be determined though an inversion of the appropriate isomorphism. An example and a numerical approach are given.

Rocznik

Tom

16

Numer

4

Strony

431-440

Opis fizyczny

Daty

wydano
2006
otrzymano
2006-02-12
poprawiono
2006-06-28
(nieznana)
2006-11-16

Twórcy

  • Department of Mathematics and Computer Sciences, Faculty of Sciences Ben Msik, Comandant Idriss El harti, 20450, Casablanca, Morocco
  • Department of Mathematics and Computer Sciences, Faculty of Sciences Ben Msik, Comandant Idriss El harti, 20450, Casablanca, Morocco
  • Department of Mathematics and Computer Sciences, Faculty of Sciences Ben Msik, Comandant Idriss El harti, 20450, Casablanca, Morocco

Bibliografia

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  • Ciarlet P.G. (1988): Introduction Analyse Numerique Matricielle etaa l'Optimisation. - Paris: Masson.
  • Curtain R.F. and Pritchard A.J. (1978): Infinite Dimensional Linear Systems Theory. - Berlin: Springer.
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  • El Jai A. and Berrahmoune L. (1991): Controllability of damped flexible systems. - Proc. IFAC Symp. s Distributed Parameter Systems, Perpignan, France, pp. 97-102.
  • Faradzhev R.G., Phat Vu Ngoc and Shapiro A.V.: (1986): Controllability theory of discrete dynamic systems. - Autom. Remote Contr., Vol. 47, pp. 1-20.
  • Halkin H. (1964): Optimal control for systems described by difference equations, In: Advances in Control Systems, Vol. 1, (C.T. Leondes, Ed.). - New York: Academic Press, Vol. 1, pp. 173-196.
  • Jolivet E. (1983): Introduction aux Modeles Mathematiquesen Biologie. - Paris: Masson.
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  • Karrakchou L., Rabah R. and Rachik M. (1998): Optimal control of discrete distributed systems with delays in state and control: State space theory and HUM approaches. - Syst. Anal. Modell. Simul., Vol. 30, pp. 225-245.
  • Karrakchou L. and Rachik M. (1995): Optimal control of discrete distributed systems with delays in the control: The finite horizoncase. - Arch. Contr. Sci., Vol. 4(XL), Nos. 1-2, pp. 37-53.
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  • Klamka J. (2002): Controllability of nonlinear discrete systems. - Int. J. Appl. Math. Comput. Sci., Vol. 12, No. 2, pp. 173-180.
  • Lasiecka I. and Triggiani R. (2000): Control Theory of Partial Differential Equations: Continuous and Approximation Theories. Part I: Abstract Parabolic Systems. - Cambridge: Cambridge University Press.
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  • Lions J.L. (1968): Contrôle Optimal des Systèmes Gouvernespar des Equations aux Derivees Partielles. - Paris: Dunod.
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  • Lions J.L. (1988b): Controlabilite Exacte, Stabilisation et Perturbations des Systemes Distribues, Vol. 1. - Paris: Masson.
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  • Rachik M., Lhous M. and Tridane A. (2003): Controllability and optimal control problem for linear time-varying discrete distributed systems. - Syst. Anal. Modell. Simul., Vol. 43, No. 2, pp. 137-164.
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Bibliografia

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