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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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