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Finite-time synchronization for complex dynamical networks with time-varying delays

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Abstract

The finite-time synchronization problem of a class of complex dynamical networks with time-varying delays is addressed in this paper. The network topology is assumed to be directed and weakly connected. By introducing a special zero row-sum matrix and combining the Lyapunov–Krasovskii functional method and the Kronecker product technique, a sufficient condition is presented, which consist of two simple low-dimensional matrix inequalities. Illustrative example is given to show the feasibility of the proposed method.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant No. 61004078, No. 61104117, and the Graduate Innovation and Creativity Foundation of Jiangsu Province under Grant CXZZ11_0255.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, P.R. China

    Qian Ma

  2. College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, 266510, P.R. China

    Zhen Wang

  3. School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, 210042, P.R. China

    Junwei Lu

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  1. Qian Ma
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  2. Zhen Wang
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  3. Junwei Lu
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Correspondence to Qian Ma.

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Ma, Q., Wang, Z. & Lu, J. Finite-time synchronization for complex dynamical networks with time-varying delays. Nonlinear Dyn 70, 841–848 (2012). https://doi.org/10.1007/s11071-012-0500-5

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  • DOI: https://doi.org/10.1007/s11071-012-0500-5

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