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2. OPTIMAL CONTROL PROBLEMS FOR SOME CLASSES OF FUNCTIONAL-DIFFERENTIAL EQUATIONS ON THE SEMI-AXIS.

Author

KICHMARENKO, O. and STANZHYTSKYI, O.

Subjects
*OPTIMAL control theory, *DIFFERENTIAL equations, *MATHEMATICAL variables, *CONVEX functions, *COMPACT spaces (Topology)
Abstract

In this paper we study functional-differential equations on the semi-axis, which are non-linear with respect to the phase variables and linear with respect to the control. Sufficient conditions for existence of optimal control in terms of the right-hand side and the quality criterion are obtained. Relation between the solutions of the problems on infinite and finite intervals is studied and results that about these connections are proven. [ABSTRACT FROM AUTHOR]

Published
2019
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