Controlling the Stochastic Sensitivity in Nonlinear Discrete-Time Systems with Incomplete Information / Ryashko Lev,Bashkirtseva Irina // DISCRETE DYNAMICS IN NATURE AND SOCIETY. - 2015. - V. , l. .

ISSN/EISSN:

1026-0226 / 1607-887X

Type:

Article

Abstract:

For stochastic nonlinear discrete-time system with incomplete information, a problem of the stabilization of equilibrium is considered. Our approach uses a regulator which synthesizes the required stochastic sensitivity. Mathematically, this problem is reduced to the solution of some quadratic matrix equations. A description of attainability sets and algorithms for regulators design is given. The general results are applied to the suppression of unwanted large-amplitude oscillations around the equilibria of the stochastically forced Verhulst model with noisy observations.

Author keywords:

CHAOS; ORDER

DOI:

10.1155/2015/658048

Web of Science ID:

ISI:000363108900001

Соавторы в МНС:

Другие поля

Поле	Значение
Publisher	HINDAWI PUBLISHING CORP
Address	410 PARK AVENUE, 15TH FLOOR, \#287 PMB, NEW YORK, NY 10022 USA
Language	English
Article-Number	658048
EISSN	1607-887X
Keywords-Plus	CHAOS; ORDER
Research-Areas	Mathematics; Science \& Technology - Other Topics
Web-of-Science-Categories	Mathematics, Interdisciplinary Applications; Multidisciplinary Sciences
Author-Email	irina.bashkirtseva@urfu.ru
Funding-Acknowledgement	Act 211 Government of the Russian Federation {[}02.A03.21.0006]
Funding-Text	The work was supported by Act 211 Government of the Russian Federation, Contract 02.A03.21.0006.
Number-of-Cited-References	25
Usage-Count-Since-2013	1
Journal-ISO	Discrete Dyn. Nat. Soc.
Doc-Delivery-Number	CT9AU