S-Regular Controlled Plants


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Abstract

We derive constructive sufficient conditions for linear controlled plants that guarantee a simple structure of the optimal controls in the time-optimal control problem. Strict convexity of the reachability set is proved for S-regular controlled plants. Uniqueness theorems for the optimal control are obtained.

About the authors

M. S. Nikol’skii

Steklov Mathematical Institute of Russian Academy of Sciences

Author for correspondence.
Email: mni@mi.ras.ru
Russian Federation, Moscow

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