ATTAINABILITY ANALYSIS IN THE PROBLEM OF STOCHASTIC EQUILIBRIA SYNTHESIS FOR NONLINEAR DISCRETE SYSTEMS / Bashkirtseva Irina,Ryashko Lev // INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE. - 2013. - V. 23, l. 1. - P. 5-16.

ISSN/EISSN:

1641-876X / нет данных

Type:

Article

Abstract:

A nonlinear discrete-time control system forced by stochastic disturbances is considered. We study the problem of synthesis of the regulator which stabilizes an equilibrium of the deterministic system and provides required scattering of random states near this equilibrium for the corresponding stochastic system. Our approach is based on the stochastic sensitivity functions technique. The necessary and important part of the examined control problem is an analysis of attainability. For 2D systems, a detailed investigation of attainability domains is given. A parametrical description of the attainability domains for various types of control inputs in a stochastic Henon model is presented. Application of this technique for suppression of noise-induced chaos is demonstrated.

Author keywords:

stochastic sensitivity function; attainability; chaos suppression CHAOS; CONTROLLABILITY; PERTURBATIONS; SENSITIVITY; TRANSITIONS; STABILITY; ORDER

DOI:

10.2478/amcs-2013-0001

Web of Science ID:

ISI:000317725800001

Соавторы в МНС:

Другие поля

Поле	Значение
Month	MAR
Publisher	UNIV ZIELONA GORA PRESS
Address	UL PODGORNA 50, ZIELONA GORA, 65-246, POLAND
Language	English
Keywords-Plus	CHAOS; CONTROLLABILITY; PERTURBATIONS; SENSITIVITY; TRANSITIONS; STABILITY; ORDER
Research-Areas	Automation \& Control Systems; Computer Science; Mathematics
Web-of-Science-Categories	Automation \& Control Systems; Computer Science, Artificial Intelligence; Mathematics, Applied
Author-Email	lev.ryashko@usu.ru
Funding-Acknowledgement	Ministry of Education and Science of Russia {[}1.1099.2011, 14.A18.21.0364]; RFBR {[}13-08-00069]
Funding-Text	This work was partially supported by the Ministry of Education and Science of Russia (1.1099.2011, 14.A18.21.0364) and RFBR (13-08-00069).
Number-of-Cited-References	32
Usage-Count-Since-2013	9
Journal-ISO	Int. J. Appl. Math. Comput. Sci.
Doc-Delivery-Number	127VB