Страница публикации

A note on differential-algebraic systems with impulsive and hysteresis phenomena

Авторы: Petrenko P., Samsonyuk O., Staritsyn M.

Журнал: Cybernetics and Physics

Том: 9

Номер: 1

Год: 2020

Отчётный год: 2020

Издательство:

Местоположение издательства:

URL:

Проекты:

DOI:

Аннотация: In this note, we single out some promising classes of differential-algebraic equations (DAEs) with hysteresis phenomena, and propose their meaningful generaliza-tions. We consider DAEs of index 2 having two fea-tures: i) non-linearity of hysteresis type modeled by a sweeping process, and ii) impulsive control represented by a bounded signed Borel measure. For such a DAE, we design an equivalent structural form, based on the Kronecker-Weierstrass transformation, and prove a necessary and sufficient condition for the existence and uniqueness of a solution to an initial value problem. We propose a notion of generalized solution to a DAE as a realization of impulsive trajectory relaxation. This relaxation is described by a dynamical system with states of bounded variation and can be equivalently represented as a system of “ordinary” DAEs.

Индексируется WOS: Нет

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Да

Индексируется ВАК: Нет

Индексируется CORE: Нет

Публикация в печати: 0