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Entropy 2015, 17(1), 39-51; doi:10.3390/e17010039

Finite-Time Synchronization of Chaotic Complex Networks with Stochastic Disturbance

College of Science, China Three Gorges University, Yichang, 443002, China
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Author to whom correspondence should be addressed.
Received: 16 October 2014 / Accepted: 22 December 2014 / Published: 30 December 2014
(This article belongs to the Special Issue Recent Advances in Chaos Theory and Complex Networks)
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Abstract

This paper is concerned with the problem of finite-time synchronization in complex networks with stochastic noise perturbations. By using a novel finite-time ℒ -operator differential inequality and other inequality techniques, some novel sufficient conditions are obtained to ensure finite-time stochastic synchronization for the complex networks concerned, where the coupling matrix need not be symmetric. The effects of control parameters on synchronization speed and time are also analyzed, and the synchronization time in this paper is shorter than that in the existing literature. The results here are also applicable to both directed and undirected weighted networks without any information of the coupling matrix. Finally, an example with numerical simulations is given to demonstrate the effectiveness of the proposed method. View Full-Text
Keywords: haotic complex networks; finite-time synchronization; stochastic synchronization; ℒ-operator differential inequality; stochastic disturbance haotic complex networks; finite-time synchronization; stochastic synchronization; ℒ-operator differential inequality; stochastic disturbance
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Li, L.; Jian, J. Finite-Time Synchronization of Chaotic Complex Networks with Stochastic Disturbance. Entropy 2015, 17, 39-51.

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