Geodesic
On the Optimal Control of a Class of Time-Delay System
L. Boudjenah1 ; M.F. Khelfi1
1 Department of Computer Science, University of Oran BP 1524 Oran, 31000, Algeria
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 151-155.

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In this work we study the optimal control problem for a class of nonlinear time-delay systems via paratingent equation with delayed argument. We use an equivalence theorem between solutions of differential inclusions with time-delay and solutions of paratingent equations with delayed argument. We study the problem of optimal control which minimizes a certain cost function. To show the existence of optimal control, we use the main topological properties of the set solutions of paratingent equation with delayed argument
DOI : 10.1051/mmnp/20105725

L. Boudjenah 1 ; M.F. Khelfi 1

1 Department of Computer Science, University of Oran BP 1524 Oran, 31000, Algeria 
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L. Boudjenah; M.F. Khelfi. On the Optimal Control of a Class of Time-Delay System. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 151-155. doi : 10.1051/mmnp/20105725. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105725/

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[4] M.Kisielewicz. Differential inclusions and optimal control. Kluwer, Dordrecht, The Netherlands, (1991).

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[6] W.. Ygmunt On some properties of a certain family of solutions of the paratingent equation Ann. Univ. Marie Curie-Sklodowska, Lublin. Polonia. Sect. A 1976 136 141

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