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On solutions of an evolution control system depending on parameters Автор::Tolstonogov, AA (Tolstonogov, AA)

Авторы: Tolstonogov A.A.

Журнал: Sbornik Mathematics

Том: 194

Номер: 9-10

Год: 2003

Отчётный год: 2003

Издательство:

Местоположение издательства:

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Проекты:

DOI: 10.1070/SM2003v194n09ABEH000769

Аннотация: A control system governed by a non-linear first-order evolution equation with mixed non-convex control constraints-is examined. The system depends on parameters entering all its data, including the. non-linear evolution operator and the control constraints. The system with convexified control constraints is also considered. The general concept of G-convergence of operators is used for the proof of the existence of selectors continuously dependent on the parameters with values in the solution set of the original system; a continuous version of the selector relaxation theorem is also proved, which concerns the approximation of the continuous solution selectors with convexified constraints by continuous solution selectors of the original system. An example of a parabolic control system is discussed.

Индексируется WOS: Q2

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Нет

Индексируется ВАК: Нет

Индексируется CORE: Нет

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