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The problem considered is that of minimizing a quadratic cost functional for a discrete distributed system with fixed initial and final states. It is shown that under suitable controllability assumptions, there is a close relationship between this problem and that of exact controllability with minimization of a time-varying energy criterion. The HUM technique is then extended to treat the exact controllability problem in the time-varying case and applied to provide an explicit form for the optimal control and the optimal cost.
Rocznik
Tom
Strony
517--535
Opis fizyczny
Bibliogr. 12 poz., wykr.
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autor
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- Ecole Mohammadia d'Ingenieurs B.P. 765, Rabat, Morocco, lotfichraibi@wanadoo.net.ma
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Bibliografia
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bwmeta1.element.baztech-article-BPZ1-0014-0028