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2 International Journal of Applied Mathematics and Computer Science

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Optimizing the linear quadratic minimum-time problem for discrete distributed systems

100%

Rachik M. , Abdelhak A.

nr 2

153-160

With reference to the work of Verriest and Lewis (1991) on continuous finite-dimensional systems, the linear quadratic minimum-time problem is considered for discrete distributed systems and discrete distributed time delay systems. We treat the problem in two variants, with fixed and free end points. We consider a cost functional J which includes time, energy and precision terms, and then we investigate the optimal pair (N, u) which minimizes J.

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

80%

Rachik M. , Lhous M. , Kahlaoui O. E.

nr 4

431-440

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.