Control of a class of chaotic systems by a stochastic delay method

Lan Zhang; Cheng Jian Zhang; Dongming Zhao

Kybernetika (2010)

  • Volume: 46, Issue: 1, page 38-49
  • ISSN: 0023-5954

Abstract

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A delay stochastic method is introduced to control a certain class of chaotic systems. With the Lyapunov method, a suitable kind of controllers with multiplicative noise is designed to stabilize the chaotic state to the equilibrium point. The method is simple and can be put into practice. Numerical simulations are provided to illustrate the effectiveness of the proposed controllable conditions.

How to cite

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Zhang, Lan, Zhang, Cheng Jian, and Zhao, Dongming. "Control of a class of chaotic systems by a stochastic delay method." Kybernetika 46.1 (2010): 38-49. <http://eudml.org/doc/37710>.

@article{Zhang2010,
abstract = {A delay stochastic method is introduced to control a certain class of chaotic systems. With the Lyapunov method, a suitable kind of controllers with multiplicative noise is designed to stabilize the chaotic state to the equilibrium point. The method is simple and can be put into practice. Numerical simulations are provided to illustrate the effectiveness of the proposed controllable conditions.},
author = {Zhang, Lan, Zhang, Cheng Jian, Zhao, Dongming},
journal = {Kybernetika},
keywords = {random dynamical system; unified chaotic system; stochastic delay differential equations; multiplicative noise; maximal Lyapunov exponent; stochastic delay differential equation; stabilization; stochastic control},
language = {eng},
number = {1},
pages = {38-49},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Control of a class of chaotic systems by a stochastic delay method},
url = {http://eudml.org/doc/37710},
volume = {46},
year = {2010},
}

TY - JOUR
AU - Zhang, Lan
AU - Zhang, Cheng Jian
AU - Zhao, Dongming
TI - Control of a class of chaotic systems by a stochastic delay method
JO - Kybernetika
PY - 2010
PB - Institute of Information Theory and Automation AS CR
VL - 46
IS - 1
SP - 38
EP - 49
AB - A delay stochastic method is introduced to control a certain class of chaotic systems. With the Lyapunov method, a suitable kind of controllers with multiplicative noise is designed to stabilize the chaotic state to the equilibrium point. The method is simple and can be put into practice. Numerical simulations are provided to illustrate the effectiveness of the proposed controllable conditions.
LA - eng
KW - random dynamical system; unified chaotic system; stochastic delay differential equations; multiplicative noise; maximal Lyapunov exponent; stochastic delay differential equation; stabilization; stochastic control
UR - http://eudml.org/doc/37710
ER -

References

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  15. Complete and generalized synchronization in a class of noise perturbed chaotic systems, Chaos 17 (2007), 023106-1. MR2340609
  16. Control a class of chaotic systems by a simple stochastic method, Dynamics of Continuous, Discrete and Impulsive Systems, Series B, Special Issue on Software Engineering and Complex Networks 14 (2007), S6, 210–214. MR2378808
  17. Stochastic stability of quasi-non-integrable Hamiltonian systems, J. Sound and Vibration 218 (1998), 769–789. 

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