International Journal of applied mathematics and computer science

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Paper details

Number 2 - June 2002
Volume 12 - 2002

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

Mostafa Rachik, Ahmed Abdelhak

Abstract
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.

Keywords
discrete distributed systems, time delay systems, minimum time, optimal control