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Existence and properties of solutions of a control system with hysteresis effect
Авторы: Timoshin S.A., Tolstonogov A.A.
Журнал: Nonlinear Analysis
Том: 74
Номер: 13
Год: 2011
Отчётный год: 2011
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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
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Индексируется УБС: Нет
Индексируется РИНЦ: Да
Индексируется ВАК: Нет
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