On Controlling Stochastic Sensitivity of Oscillatory Systems / Bashkirtseva I. A.,Nurmukhametova D. R.,Ryashko L. B. // AUTOMATION AND REMOTE CONTROL. - 2013. - V. 74, l. 6. - P. 932-943.

ISSN/EISSN:

0005-1179 / нет данных

Type:

Article

Abstract:

For a nonlinear oscillatory stochastic system, we study the control problem for the variance of random trajectories around a deterministic cycle. To describe the range of random trajectories, we use the method of stochastic sensitivity functions. We consider the problem of designing a given stochastic sensitivity function, discuss problems of controllability and reachability. Complete stochastic controllability is only possible when the control's dimension coincides with the system's dimension. Otherwise, the design problem becomes ill-posed. To solve it, we propose a regularization method that lets us produce a given stochastic sensitivity function with any given precision. The efficiency of the proposed approach is demonstrated with the example of controlling stochastic oscillations in a brusselator model.

Author keywords:

CHAOS

DOI:

10.1134/S0005117913060040

Web of Science ID:

ISI:000322257500004

Соавторы в МНС:

Другие поля

Поле	Значение
Month	JUN
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	Ministry of Education and Science of the Russian Federation {[}1.1099.2011, 14.A18.21.0364]
Funding-Text	This work was supported by the Ministry of Education and Science of the Russian Federation, project no. 1.1099.2011 and contract no. 14.A18.21.0364.
Number-of-Cited-References	24
Usage-Count-Since-2013	7
Journal-ISO	Autom. Remote Control
Doc-Delivery-Number	189HG