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Synchronization of complex networks with nonhomogeneous Markov jump topology |
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| Authors: | Zu-Xin Li Ju H Park Zheng-Guang Wu |
| Institution: | 1. School of Information Engineering, Huzhou Teachers College, Huzhou, Zhejiang, 313000, P.R. China 2. Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan, 712-749, Republic of Korea 3. National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Yuquan Campus, Hangzhou, Zhejiang, 310027, P.R. China |
| 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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