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Robust Exponential Stabilization of Uncertain Complex Switched Networks with Time-Varying Delays

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Abstract

This paper investigates the robust stability for a class of uncertain complex switched networks (CSN) with time-varying delays and switching topology. The CSN model contains switching behaviors on both nodes and the topology configuration which is general in many complex networks. Based on Lyapunov stability theory and the comparison principle, sufficient robust exponential stabilization conditions for CSN are established via the impulsive control schemes under two different conditions. The corresponding systematic-design procedure is presented, and a numerical example is provided to illustrate the effectiveness of our methods.

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Acknowledgements

The work is supported by the Natural Science Foundation of China under Grants 60974021 and 61125303, the 973 Program of China under Grant 2011CB710606 and the Fund for Distinguished Young Scholars of Hubei Province under Grant 2010CDA081.

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Authors and Affiliations

  1. School of Automation, Huazhong University of Science and Technology, Wuhan, 430074, China

    Jian Xiao & Zhigang Zeng

  2. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan, 430074, China

    Jian Xiao & Zhigang Zeng

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  1. Jian Xiao
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  2. Zhigang Zeng
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Correspondence to Jian Xiao.

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Xiao, J., Zeng, Z. Robust Exponential Stabilization of Uncertain Complex Switched Networks with Time-Varying Delays. Circuits Syst Signal Process 33, 1135–1151 (2014). https://doi.org/10.1007/s00034-013-9683-3

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  • DOI: https://doi.org/10.1007/s00034-013-9683-3

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