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2015 Outer Synchronization of Complex Networks with Nondelayed and Time-Varying Delayed Couplings via Pinning Control or Impulsive Control
Jianwen Feng, Sa Sheng, Ze Tang, Yi Zhao
Abstr. Appl. Anal. 2015(SI03): 1-11 (2015). DOI: 10.1155/2015/414596

Abstract

The outer synchronization problem between two complex networks with nondelayed and time-varying delayed couplings via two different control schemes, namely, pinning control and impulsive control, is considered. Firstly, by applying pinning control to a fraction of the network nodes and using a suitable Lyapunov function, we obtain some new and useful synchronization criteria, which guarantee the outer synchronization between two complex networks. Secondly, impulsive control is added to the nodes of corresponding response network. Based on the generalized inequality about time-varying delayed different equation, the sufficient conditions for outer synchronization are derived. Finally, some examples are presented to demonstrate the effectiveness and feasibility of the results obtained in this paper.

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Jianwen Feng. Sa Sheng. Ze Tang. Yi Zhao. "Outer Synchronization of Complex Networks with Nondelayed and Time-Varying Delayed Couplings via Pinning Control or Impulsive Control." Abstr. Appl. Anal. 2015 (SI03) 1 - 11, 2015. https://doi.org/10.1155/2015/414596

Information

Published: 2015
First available in Project Euclid: 15 April 2015

zbMATH: 1342.93017
MathSciNet: MR3316990
Digital Object Identifier: 10.1155/2015/414596

Rights: Copyright © 2015 Hindawi

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Vol.2015 • No. SI03 • 2015
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