Academic Journal
Statistical Characteristics of Control Systems, Arising in Various Models of Natural Sciences
| Title: | Statistical Characteristics of Control Systems, Arising in Various Models of Natural Sciences |
|---|---|
| Authors: | Y. Y. Larina, L. I. Rodina |
| Source: | Моделирование и анализ информационных систем, Vol 20, Iss 5, Pp 62-77 (2013) |
| Publisher Information: | Yaroslavl State University, 2013. |
| Publication Year: | 2013 |
| Collection: | LCC:Information technology |
| Subject Terms: | управляемые системы, дифференциальные включения, инвариантные и статистически инвариантные множества, Information technology, T58.5-58.64 |
| Description: | We continue the study of extending the concept of invariance sets relative to control systems and differential inclusions. This expansion consists in studying statistically invariant sets and statistical characteristics of the attainability set of control systems. In this work, we obtain conditions for the statistical invariance and investigate the properties of the statistical characteristics of control systems with periodic coefficients. It is shown that the property of statistical invariancy is closely connected with the property of admissibility of periodic processes for linear control systems. The admissibility means that for any periodic control from the fixed set there exists a unique periodic solution which is in the given set of the phase space. The results of the work can be applied while finding the statistical characteristics arising in various models of biology, chemistry, economy. |
| Document Type: | article |
| File Description: | electronic resource |
| Language: | English Russian |
| ISSN: | 1818-1015 2313-5417 |
| Relation: | http://mais-journal.ru/jour/article/view/174; https://doaj.org/toc/1818-1015; https://doaj.org/toc/2313-5417 |
| Access URL: | https://doaj.org/article/a20b4a9d1bec48d2bd94e1ad4c89d5fd |
| Accession Number: | edsdoj.20b4a9d1bec48d2bd94e1ad4c89d5fd |
| Database: | Directory of Open Access Journals |
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