Systems with Partially Freezed Components
- 作者: Pilyugin S.1
-
隶属关系:
- St. Petersburg State University
- 期: 卷 39, 编号 5 (2018)
- 页面: 707-712
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202251
- DOI: https://doi.org/10.1134/S1995080218050116
- ID: 202251
如何引用文章
详细
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.
作者简介
S. Pilyugin
St. Petersburg State University
编辑信件的主要联系方式.
Email: sergeipil47@mail.ru
俄罗斯联邦, Universitetskaya nab. 7–9, St. Petersburg, 199034