Optimality conditions of the maximum principle type in bilinear control problems


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The optimization of a bilinear functional related to a linear state system with a modular control constraint is considered. Exact formulas for the functional increment are used to obtain sufficient conditions for the optimality of extremal controls that supplement the maximum principle. These conditions are represented in the form of inequalities and equalities for one-variable functions on a time interval. The optimization of a quadratic functional with the help of a matrix conjugate function is reduced to the bilinear case.

作者简介

V. Antonik

Irkutsk State University

Email: srochko@math.isu.ru
俄罗斯联邦, Irkutsk, 664003

V. Srochko

Irkutsk State University

编辑信件的主要联系方式.
Email: srochko@math.isu.ru
俄罗斯联邦, Irkutsk, 664003

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