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Entropy 2015, 17(10), 6937-6953; doi:10.3390/e17106937

Exponential Synchronization of Two Complex Dynamical Networks of Random Disturbance with Both Mixed Coupled and Time-Varying Delay by Pinning Control

School of Computer and Software Engineering, Shenzhen Polytechnic, Shenzhen 518055, China
Academic Editor: J. A. Tenreiro Machado
Received: 26 June 2015 / Revised: 19 August 2015 / Accepted: 25 August 2015 / Published: 16 October 2015
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Abstract

In this paper, the exponentially synchronization in the mean square is investigated for two different stochastic complex networks with hybrid coupling and time-varying delay via pinning control. By utilizing the Lyapunov stability theory, stochastic analysis theory, as well as matrix analysis, the sufficient conditions are derived to guarantee the exponential synchronization for any initial values through a feedback scheme. The numerical simulation is provided to show the effectiveness of the theoretical results. View Full-Text
Keywords: two complex dynamical networks; exponential synchronization in the mean square; random disturbance; pinning control two complex dynamical networks; exponential synchronization in the mean square; random disturbance; pinning control
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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MDPI and ACS Style

Wu, X. Exponential Synchronization of Two Complex Dynamical Networks of Random Disturbance with Both Mixed Coupled and Time-Varying Delay by Pinning Control. Entropy 2015, 17, 6937-6953.

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