Страница публикации

A Local Search Scheme for the Inequality-Constrained Optimal Control Problem

Авторы: Strekalovsky A.S.

Журнал: Lecture Notes in Computer Science: 20th Intern. Conf. on Mathematical Optimization Theory and Operations Research, MOTOR 2021 (Irkutsk, 5-10 July 2021)

Том: 12755

Номер:

Год: 2021

Отчётный год: 2021

Издательство:

Местоположение издательства:

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Проекты:

DOI: 10.1007/978-3-030-77876-7_2

Аннотация: This paper addresses the nonconvex optimal control (OC) problem with the cost functional and inequality constraint given by the functionals of Bolza. All the functions in the statement of the problem are state-DC, i.e. presented by a difference of the state-convex functions. Meanwhile, the control system is state-linear. Further, with the help of the Exact Penalization Theory we propose the state-DC form of the penalized cost functional and, using the linearization with respect to the basic nonconvexity of the penalized problem, we study the linearized OC problem. On this basis, we develop a general scheme of the special Local Search Method with a varying penalty parameter. Finally, we address the convergence of the proposed scheme.

Индексируется WOS: Нет

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Да

Индексируется ВАК: Нет

Индексируется CORE: Нет

Публикация в печати: 0