Страница публикации

Existence and properties of solutions of a control system with hysteresis effect

Тип публикации: Статья в журнале

Тип материала: Текст

Авторы: Timoshin S.A., Tolstonogov A.A.

Журнал: Nonlinear Analysis

Язык публикации: english

Том: 74

Номера страниц: 4433-4447

Количество страниц: 15

Номер: 13

Год публикации: 2011

Отчетный год: 2011

DOI: 10.1016/j.na.2011.04.004

Аннотация: We consider a control system described by two ordinary nonlinear differential equations subject to a control constraint given by a multivalued mapping with closed nonconvex values, which depends on the phase variables. One of the equations contains the subdifferential of the indicator function of a closed convex set depending on the unknown phase variable. The equation containing the subdifferential describes an input-output relation of hysteresis type. Along with the original control constraint, we also consider the convexified control constraint and the constraint consisting of the extremal points of the convexified control constraint. We prove the existence of solutions of our control system with various control constraints and establish certain relationships between corresponding solution sets. (c) 2011 Elsevier Ltd. All rights reserved.

Индексируется WOS: Q1

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Да

Индексируется ВАК: Нет

Индексируется CORE: Нет