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Synchronization of complex networks with nonhomogeneous Markov jump topology

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Abstract

The problem of synchronization of complex networks with nonhomogeneous Markov jump topology and time-varying coupling delay is investigated in this paper. The Markov process in the underlying complex networks is finite piecewise homogeneous, which is a special case of nonhomogeneous Markov process. Based on the Lyapunov functional approach, an exponential stability condition is derived for the error system in terms of the linear matrix inequality method. Based on the condition, the design method of the desired controller is given. An example is given to show the effectiveness of the proposed technique.

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Acknowledgements

The work was supported Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science, and Technology (2010-0009373). This work was also supported by the National Natural Science Foundation of China under grant No. 61174029, by the Key Project of Chinese Ministry of Education under grant No. 211067, by the Zhejiang Provincial Natural Science Foundation of China under grant No. Y1110944.

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Authors and Affiliations

  1. School of Information Engineering, Huzhou Teachers College, Huzhou, Zhejiang, 313000, P.R. China

    Zu-Xin Li

  2. Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan, 712-749, Republic of Korea

    Ju H. Park & Zheng-Guang Wu

  3. National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Yuquan Campus, Hangzhou, Zhejiang, 310027, P.R. China

    Zheng-Guang Wu

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  1. Zu-Xin Li
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  2. Ju H. Park
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  3. Zheng-Guang Wu
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Correspondence to Ju H. Park.

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Li, ZX., Park, J.H. & Wu, ZG. Synchronization of complex networks with nonhomogeneous Markov jump topology. Nonlinear Dyn 74, 65–75 (2013). https://doi.org/10.1007/s11071-013-0949-x

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  • DOI: https://doi.org/10.1007/s11071-013-0949-x

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