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Synchronization Stability and Control for Neutral Complex Dynamical Network with Interval Time-Varying Coupling Delay

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Abstract

This paper deals with the synchronization stability and control problems for neutral-type complex dynamical network with interval time-varying coupling delay. By dividing the delay interval into two equidistant subintervals and constructing two appropriate Lyapunov–Krasovskii functionals, several less conservative delay-dependent synchronization stability criteria are proposed in terms of linear matrix inequalities. Furthermore, a simple linear state feedback controller is introduced to force the network to synchronize, while the whole network cannot achieve synchronization by itself. Some sufficient synchronization conditions for the controlled network are derived. The minimum feedback gain can be determined based on the proposed conditions. Numerical examples are given to demonstrate the effectiveness and less conservatism of the proposed method.

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Acknowledgments

The authors would like to thank the Associate Editor and anonymous referees for their helpful comments and suggestions which have greatly improved this paper. This research work was supported by the National Natural Science Foundation of China (Grant No. 61303020) and the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (Grant No. 2015168).

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  1. School of Electronics Information Engineering, Taiyuan University of Science and Technology, Taiyuan, 030024, China

    Jian-an Wang, Chan Zeng & Xinyu Wen

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  1. Jian-an Wang
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  2. Chan Zeng
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Correspondence to Jian-an Wang.

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Wang, Ja., Zeng, C. & Wen, X. Synchronization Stability and Control for Neutral Complex Dynamical Network with Interval Time-Varying Coupling Delay. Circuits Syst Signal Process 36, 559–576 (2017). https://doi.org/10.1007/s00034-016-0328-1

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