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H∞ synchronization of general chaotic systems with random perturbations

Tu Li-Lan Ke Chao Ding Yong-Mei

H∞ synchronization of general chaotic systems with random perturbations

Tu Li-Lan, Ke Chao, Ding Yong-Mei
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  • Received Date:  09 August 2010
  • Accepted Date:  06 September 2010
  • Published Online:  15 May 2011

H∞ synchronization of general chaotic systems with random perturbations

  • 1. Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430081, China

Abstract: In this paper, the H∞ synchronization of general chaotic systems with random perturbations is investigated, in which perturbation is a random process of Brownian motion. Based on stochastic Lyapunov stability theory, linear matrix inequalities, and It formula and H∞ control method combined with feedback control laws, some new asymptotic synchronization schemes are established which guarantee robust stochastical mean square asymptotical synchronization for drive system and noise-perturbed response system, as well as achieving a prescribed stochastic robust H∞ performance level. These schemes are in a simple form and easy to work with Matlab. Finally, simulations show that the proposed results are correct and effective.

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