OPTIMAL CONTROL OF FIRST-ORDER UNDIVIDED INCLUSIONS

OPTIMAL CONTROL OF FIRST-ORDER UNDIVIDED INCLUSIONS

E. N. Mahmudov, D. M. Mastaliyeva

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Abstract

The article is devoted to the optimization of first-order evolution inclusions (DFI) with undivided conditions. Optimality conditions are formulated in terms of locally adjoint mappings (LAMs). The construction of “duality relations” is an indis- pensable approach for the differential inclusions. In this case, the presence of discrete- approximate problems is a bridge between discrete and continuous problems. At the end of the article, as an example, we consider duality in optimization problems with linear discrete and first-order polyhedral DFIs.

Keywords

Endpoint and state constraints, infimal convolution, necessary and sufficient, duality, conjugate, Euler-Lagrange.