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Efficient estimates of the solutions of perturbed control problems
Authors:A. L. Dontchev
Affiliation:(1) Institute of Mathematics, Bulgarian Academy of Sciences, Sofia, Bulgaria
Abstract:In this paper, we obtain estimates of the solutions for a sequence of strongly convex extremal problems. As applications of our abstract results, we consider optimal control problems with various types of perturbations. We estimate the solutions of problems with perturbations in the state equation and in the control constraining set. A singularly perturbed problem and a problem with perturbed time delay parameter are studied.
Keywords:Extremal problems  perturbations  optimal control problems  singular perturbations  problems with time delay
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