Geodesic
Optimizing the Linear Quadratic Minimum-Time Problem for Discrete Distributed Systems
International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) no. 2, pp. 153-160

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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
Mots-clés : informatyka 
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     author = {Rachik, M. and Abdelhak, A.},
     title = {Optimizing the {Linear} {Quadratic} {Minimum-Time} {Problem} for {Discrete} {Distributed} {Systems}},
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Rachik, M.; Abdelhak, A. Optimizing the Linear Quadratic Minimum-Time Problem for Discrete Distributed Systems. International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) no. 2, pp. 153-160. http://geodesic.mathdoc.fr/item/IJAMCS_2002_12_2_a1/