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Complexity
Volume 2017, Article ID 7850958, 10 pages
https://doi.org/10.1155/2017/7850958
Research Article

Global Exponential Synchronization of Nonlinearly Coupled Complex Dynamical Networks with Time-Varying Coupling Delays

1Hunan Provincial Key Laboratory of Wind Generator and Its Control, Hunan Institute of Engineering, Xiangtan, Hunan 411104, China
2The Cooperative Innovation Center of Wind Power Equipment and Energy Conversion, Xiangtan, Hunan 411104, China
3Hunan Electrical College of Technology, Xiangtan, Hunan 411101, China

Correspondence should be addressed to Li Shu; nc.ude.einh@iluhs

Received 21 April 2017; Revised 28 June 2017; Accepted 2 July 2017; Published 9 August 2017

Academic Editor: David Arroyo

Copyright © 2017 Yi-Ping Luo et al. 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.

Abstract

This paper focuses on the global exponential synchronization problem of nonlinearly coupled complex dynamical networks with time-varying coupling delays. Several simple and generic global exponential synchronization criteria are derived based on the Lyapunov stability theory and the Dini derivatives using the Halanay and generalized Halanay inequalities. These criteria rely on system parameters alone and can be used conveniently in practical applications. In addition, the system parameters do not satisfy the conditions of the proposed criteria. That is, the system itself cannot synchronize. However, system synchronization can be achieved by adding the appropriate feedback controllers, thereby providing a practical and effective control method for complex dynamical networks. An estimation method of exponential convergence rate is also presented. Finally, the effectiveness of the proposed criteria is verified through numerical simulations.