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Statistical Characteristics of Control Systems, Arising in Various Models of Natural Sciences

Bibliographic Details
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
Description
ISSN:18181015
23135417