Systems with Partially Freezed Components
- Autores: Pilyugin S.1
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Afiliações:
- St. Petersburg State University
- Edição: Volume 39, Nº 5 (2018)
- Páginas: 707-712
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202251
- DOI: https://doi.org/10.1134/S1995080218050116
- ID: 202251
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Resumo
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.
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Sobre autores
S. Pilyugin
St. Petersburg State University
Autor responsável pela correspondência
Email: sergeipil47@mail.ru
Rússia, Universitetskaya nab. 7–9, St. Petersburg, 199034