On stochastic sensitivity control in discrete systems / Bashkirtseva I. A.,Ryashko L. B. // AUTOMATION AND REMOTE CONTROL. - 2010. - V. 71, l. 9. - P. 1833-1848.

ISSN/EISSN:

0005-1179 / нет данных

Type:

Article

Abstract:

For a discrete nonlinear controlled stochastic system, we consider the scatter range of random states around the equilibrium. We consider the problem of designing a regulator that would allow to form a stable stationary probability distribution with a given covariance around this equilibrium. For small random perturbations, we propose to approximate the scatter range of trajectories in the neighborhood of a stable equilibrium with a stochastic sensitivity matrix. We pose the regulator design problem for a regulator that forms a desired stochastic sensitivity matrix in a controlled system. For the considered design problem, we introduce the notion of a reachability set and give its constructive description. The efficiency of the proposed approach is demonstrated on the example of controlling the stationary distribution on random states in stochastically perturbed Verhulst and H,non models.

Author keywords:

CHAOS

DOI:

10.1134/S0005117910090079

Web of Science ID:

ISI:000282173700007

Соавторы в МНС:

Другие поля

Поле	Значение
Month	SEP
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Keywords-Plus	CHAOS
Research-Areas	Automation \& Control Systems; Instruments \& Instrumentation
Web-of-Science-Categories	Automation \& Control Systems; Instruments \& Instrumentation
Funding-Acknowledgement	Russian Foundation for Basic Research {[}09-01-00026, 09-08-00048, 10-01-96022ural]; Federal Agency of Education {[}2.1.1/2571]; Federal Target Program {[}02.740.11.0202]
Funding-Text	This work was supported in part by the Russian Foundation for Basic Research, projects nos. 09-01-00026, 09-08-00048, 10-01-96022ural, Federal Agency of Education, project no. 2.1.1/2571, and the Federal Target Program, project no. 02.740.11.0202.
Number-of-Cited-References	22
Usage-Count-Since-2013	4
Journal-ISO	Autom. Remote Control
Doc-Delivery-Number	654MZ