Nonfragile RobustH∞Synchronization Approach for Drive-Response Complex Dynamical Networks with Randomly Occurring Controller Gain Fluctuations and Uncertainties

Dabin Li,Guangfu Ma,Zicai Wang

doi:10.1155/2015/495858

Abstract

This paper investigates the nonfragileH∞synchronization problem of complex dynamical networks with randomly occurring controller gain fluctuations and uncertainties. These randomly occurring phenomena are described by independent stochastic variables satisfying Bernoulli distributions, which are adopted to model more realistic dynamical behaviors of the complex networks. By applying the Lyapunov-Krasovskii method, delay-dependent criteria are established to ensure that the synchronization can be achieved with the prescribedH∞disturbance attenuation. Moreover, the obtained results do not rely on the derivatives of time-varying delays. A set of nonfragile controllers are further designed in terms of linear matrix inequality (LMI) approach. Finally, a numerical example is given to illustrate the effectiveness of our theoretical results.

Highlights

IntroductionThere have been intensive researches on dynamical properties of complex networks
In the past decade, there have been intensive researches on dynamical properties of complex networks
This paper investigates the nonfragile H∞ synchronization problem of complex dynamical networks with randomly occurring controller gain fluctuations and uncertainties

Summary

Introduction

There have been intensive researches on dynamical properties of complex networks. It is generally known that time delays exist ubiquitously in almost all practical applications, which may lead to system performance degradation [16–19]. Due to their impact, there have been some efficient synchronization results of complex dynamical networks with various time delays [20, 21]. There have been some efficient synchronization results of complex dynamical networks with various time delays [20, 21] Another important issue in the complex dynamical networks is the uncertainty. Some initial attention has been focused on this problem [22]

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Conclusion