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New synchronization stability criteria for general complex dynamical networks with interval time-varying delays

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Abstract

In this paper, the synchronization stability problem for a class of general complex dynamical networks with interval time-varying coupling delay and delay in the dynamical node is investigated. By dividing the delay interval into two variable subintervals, slightly different Lyapunov–Krasovskii functionals are constructed on these two subintervals. Then several less conservative delay-dependent synchronization stability criteria are derived in terms of linear matrix inequality via reciprocally convex approach, which can be easily solved by using the standard numerical software. Numerical examples are given to illustrate the effectiveness and less conservatism of the proposed method.

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Acknowledgments

The work was supported by the National Natural Science Foundation of China (Grants Nos. 61203049 and 61303020), and the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (Grant No. 2015168). The author is very grateful to anonymous reviewers and editor for their valuable comments and suggestions to improve the presentation and theoretical results of this paper.

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  1. School of Electronics Information Engineering, Taiyuan University of Science and Technology, Taiyuan, 030024, China

    Jian-An Wang

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  1. Jian-An Wang
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Wang, JA. New synchronization stability criteria for general complex dynamical networks with interval time-varying delays. Neural Comput & Applic 28, 805–815 (2017). https://doi.org/10.1007/s00521-015-2108-4

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  • DOI: https://doi.org/10.1007/s00521-015-2108-4

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