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2014 New Global Synchronization Analysis for Complex Networks with Coupling Delay
Jinfang Zhang, Yuanhua Qiao, Jun Miao, Lijuan Duan, Yanjun Zeng
J. Appl. Math. 2014: 1-12 (2014). DOI: 10.1155/2014/623249

Abstract

Global synchronization analysis for complex networks with coupling delay is investigated. Firstly the constant time delay is analyzed and then the case for time-varying delay is considered. Sufficient conditions for network synchronization are given based on Lyapunov functional, linear matrix inequality, and Kronecker product technique. The unknown variables in the sufficient conditions are fewer than those in the recent reference. Moreover, for the time-varying delay case, we find that the conditions are dependent on the bounds of both time delay and its derivative, and the derivative of the time-varying delay can be any value in the bounds. Finally, numerical examples are given to validate the effectiveness of the obtained results.

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Jinfang Zhang. Yuanhua Qiao. Jun Miao. Lijuan Duan. Yanjun Zeng. "New Global Synchronization Analysis for Complex Networks with Coupling Delay." J. Appl. Math. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/623249

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010703
MathSciNet: MR3182378
Digital Object Identifier: 10.1155/2014/623249

Rights: Copyright © 2014 Hindawi

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