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

Irina Bashkirtseva; Lev Ryashko

International Journal of Applied Mathematics and Computer Science (2013)

- Volume: 23, Issue: 1, page 5-16
- ISSN: 1641-876X

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topIrina Bashkirtseva, and Lev Ryashko. "Attainability analysis in the problem of stochastic equilibria synthesis for nonlinear discrete systems." International Journal of Applied Mathematics and Computer Science 23.1 (2013): 5-16. <http://eudml.org/doc/251299>.

@article{IrinaBashkirtseva2013,

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 = {Irina Bashkirtseva, Lev Ryashko},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {stochastic sensitivity function; attainability; chaos suppression},

language = {eng},

number = {1},

pages = {5-16},

title = {Attainability analysis in the problem of stochastic equilibria synthesis for nonlinear discrete systems},

url = {http://eudml.org/doc/251299},

volume = {23},

year = {2013},

}

TY - JOUR

AU - Irina Bashkirtseva

AU - Lev Ryashko

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

JO - International Journal of Applied Mathematics and Computer Science

PY - 2013

VL - 23

IS - 1

SP - 5

EP - 16

AB - 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.

LA - eng

KW - stochastic sensitivity function; attainability; chaos suppression

UR - http://eudml.org/doc/251299

ER -

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