Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
We study a particular class of switching systems called systems with partially freezed components. Fix an autonomous system of differential equations and consider a family of systems obtained from it by replacing some of components of the right-hand side by zeros (thus, “freezing” some components of a solution). We obtain the flow of a system with partially freezed components by fixing a sequence of switching times and of the corresponding sets of “active” components (i.e., the components that are not “freezed”). Such a sequence is called a freezing sequence. Systems with partially freezed components appear, for example, in the study of generalized Turing machines. In this paper, we are mostly interested in stability properties of such systems; our main goal is to relate such properties to properties of the generating system and freezing sequences.
Язык оригинала | английский |
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Страницы (с-по) | 707-712 |
Число страниц | 6 |
Журнал | Lobachevskii Journal of Mathematics |
Том | 39 |
Номер выпуска | 5 |
DOI | |
Состояние | Опубликовано - 1 июн 2018 |
ID: 33287980