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H ∞ Synchronization of Directed Complex Dynamical Networks with Mixed Time-Delays and Switching Structures

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Abstract

This paper is concerned with the H ∞ synchronization problem of directed complex dynamical networks. For the system under study, mixed time-delays and stochastic factors are taken into consideration. By stochastic analysis techniques, we establish sufficient conditions under which the network is synchronized to the prescribed system in the H ∞ sense. Moreover, the effect of exogenous disturbance on synchronization performance is reduced to a given H ∞ norm. Finally, numerical simulations are given to verify the usefulness and effectiveness of our results.

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Author information

Authors and Affiliations

  1. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, P.R. China

    Guan Wang, Quan Yin & Yi Shen

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

    Guan Wang, Quan Yin & Yi Shen

  3. School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, Hubei, 430073, P.R. China

    Feng Jiang

Authors
  1. Guan Wang
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  2. Quan Yin
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  3. Yi Shen
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  4. Feng Jiang
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Corresponding author

Correspondence to Yi Shen.

Additional information

The project is supported by the State Key Program of National Natural Science of China (Grant No. 61134012) and the National Natural Science Foundation of China (Grant No. 11271146).

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Wang, G., Yin, Q., Shen, Y. et al. H ∞ Synchronization of Directed Complex Dynamical Networks with Mixed Time-Delays and Switching Structures. Circuits Syst Signal Process 32, 1575–1593 (2013). https://doi.org/10.1007/s00034-012-9527-6

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  • DOI: https://doi.org/10.1007/s00034-012-9527-6

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