Conditions for the Existence of Optimal Control for Some Classes of Differential Equations on Time Scales


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Abstract

We consider a class of problems of optimal control on finite and infinite time scales. For these problems, we establish sufficient conditions for the existence of optimal control formulated in terms of the right-hand sides of the system and the function appearing in the quality criterion.

About the authors

O. E. Lavrova

Shevchenko Kyiv National University

Author for correspondence.
Email: lavrova_olia@mail.ru
Ukraine, Volodymyrs’ka Str., 64, Kyiv, 01033

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