<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Attainability analysis in the problem of stochastic equilibria synthesis for nonlinear discrete systems

Institute of Mathematics and Computer Science Ural Federal University, 51 Lenin Street, Ekaterinburg, Russia

International Journal of Applied Mathematics and Computer Science

A nonlinear discrete-time control system forced by stochastic disturbances is considered. We study the problem of synthesis of the regulator which stabilizes...

Attainability analysis in the problem of stochastic equilibria synthesis for nonlinear discrete systems

Published Online: Mar 26, 2013

Page range: 5 - 16

DOI: https://doi.org/10.2478/amcs-2013-0001

This content is open access.