Systems with Partially Freezed Components
- Авторлар: Pilyugin S.1
-
Мекемелер:
- St. Petersburg State University
- Шығарылым: Том 39, № 5 (2018)
- Беттер: 707-712
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202251
- DOI: https://doi.org/10.1134/S1995080218050116
- ID: 202251
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
S. Pilyugin
St. Petersburg State University
Хат алмасуға жауапты Автор.
Email: sergeipil47@mail.ru
Ресей, Universitetskaya nab. 7–9, St. Petersburg, 199034