Finite-time synchronization of chaotic systems with noise perturbation

Jie Wu; Zhi-cai Ma; Yong-zheng Sun; Feng Liu

Kybernetika (2015)

  • Volume: 51, Issue: 1, page 137-149
  • ISSN: 0023-5954

Abstract

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In this paper, we investigate the finite-time stochastic synchronization problem of two chaotic systems with noise perturbation. We propose new adaptive controllers, with which we can synchronize two chaotic systems in finite time. Sufficient conditions for the finite-time stochastic synchronization are derived based on the finite-time stability theory of stochastic differential equations. Finally, some numerical examples are examined to demonstrate the effectiveness and feasibility of the theoretical results.

How to cite

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Wu, Jie, et al. "Finite-time synchronization of chaotic systems with noise perturbation." Kybernetika 51.1 (2015): 137-149. <http://eudml.org/doc/270037>.

@article{Wu2015,
abstract = {In this paper, we investigate the finite-time stochastic synchronization problem of two chaotic systems with noise perturbation. We propose new adaptive controllers, with which we can synchronize two chaotic systems in finite time. Sufficient conditions for the finite-time stochastic synchronization are derived based on the finite-time stability theory of stochastic differential equations. Finally, some numerical examples are examined to demonstrate the effectiveness and feasibility of the theoretical results.},
author = {Wu, Jie, Ma, Zhi-cai, Sun, Yong-zheng, Liu, Feng},
journal = {Kybernetika},
keywords = {synchronization; finite-time; noise perturbation; adaptive feedback controller; synchronization; finite-time; noise perturbation; adaptive feedback controller},
language = {eng},
number = {1},
pages = {137-149},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Finite-time synchronization of chaotic systems with noise perturbation},
url = {http://eudml.org/doc/270037},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Wu, Jie
AU - Ma, Zhi-cai
AU - Sun, Yong-zheng
AU - Liu, Feng
TI - Finite-time synchronization of chaotic systems with noise perturbation
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 1
SP - 137
EP - 149
AB - In this paper, we investigate the finite-time stochastic synchronization problem of two chaotic systems with noise perturbation. We propose new adaptive controllers, with which we can synchronize two chaotic systems in finite time. Sufficient conditions for the finite-time stochastic synchronization are derived based on the finite-time stability theory of stochastic differential equations. Finally, some numerical examples are examined to demonstrate the effectiveness and feasibility of the theoretical results.
LA - eng
KW - synchronization; finite-time; noise perturbation; adaptive feedback controller; synchronization; finite-time; noise perturbation; adaptive feedback controller
UR - http://eudml.org/doc/270037
ER -

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