Volume 6 Number 3
August 2009
Article Contents
Yang Dai, YunZe Cai and Xiao-Ming Xu. Synchronization and Exponential Estimates of Complex Networks with Mixed Time-varying Coupling Delays. International Journal of Automation and Computing, vol. 6, no. 3, pp. 301-307, 2009. doi: 10.1007/s11633-009-0301-6
Cite as: Yang Dai, YunZe Cai and Xiao-Ming Xu. Synchronization and Exponential Estimates of Complex Networks with Mixed Time-varying Coupling Delays. International Journal of Automation and Computing, vol. 6, no. 3, pp. 301-307, 2009. doi: 10.1007/s11633-009-0301-6

Synchronization and Exponential Estimates of Complex Networks with Mixed Time-varying Coupling Delays

  • Received: 2008-11-17
Fund Project:

supported by the National Key Fundamental Re-search Program (No.2002CB312201-03);the National NaturalScience Foundation of China (No.60575036)

通讯作者: 陈斌, bchen63@163.com
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Synchronization and Exponential Estimates of Complex Networks with Mixed Time-varying Coupling Delays

Fund Project:

supported by the National Key Fundamental Re-search Program (No.2002CB312201-03);the National NaturalScience Foundation of China (No.60575036)

Abstract: Exponential estimates and sufficient conditions for the exponential synchronization of complex dynamical networks with bounded time-varying delays are given in terms of linear matrix inequalities (LMIs). A generalized complex networks model involving both neutral delays and retarded ones is presented. The exponential synchronization problem of the complex networks is converted equivalently into the exponential stability problem of a group of uncorrelated delay functional differential equations with mixed timevarying delays. By utilizing the free weighting matrix technique, a less conservative delay-dependent synchronization criterion is derived. An illustrative example is provided to demonstrate the effectiveness of the proposed method.

Yang Dai, YunZe Cai and Xiao-Ming Xu. Synchronization and Exponential Estimates of Complex Networks with Mixed Time-varying Coupling Delays. International Journal of Automation and Computing, vol. 6, no. 3, pp. 301-307, 2009. doi: 10.1007/s11633-009-0301-6
Citation: Yang Dai, YunZe Cai and Xiao-Ming Xu. Synchronization and Exponential Estimates of Complex Networks with Mixed Time-varying Coupling Delays. International Journal of Automation and Computing, vol. 6, no. 3, pp. 301-307, 2009. doi: 10.1007/s11633-009-0301-6
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