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Synchronization of competitive neural networks with different time scales and time-varying delay based on delay partitioning approach

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Abstract

In this paper, the synchronization problem for a class of competitive neural networks with different time scales and time-varying delay is investigated. A novel delay partitioning approach is developed to derive a delay-dependent condition guaranteeing the response system can be synchronized with the drive system. The design of the gain matrix of the linear feedback controller can be achieved by solving a linear matrix inequality. By constructing a novel Lyapunov–Krasovskii functional, which can guarantee the new synchronization conditions to be less conservative than those in the literature. This paper also presents an illustrative example and uses simulated results of this example to show the feasibility and effectiveness of the proposed scheme.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Nos. 10671209 and 11071254) and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry.

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Authors and Affiliations

  1. Department of Basic Science, Shijiazhuang Mechanical Engineering College, Shijiazhuang, 050003, People’s Republic of China

    Qintao Gan

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  1. Qintao Gan
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Correspondence to Qintao Gan.

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Gan, Q. Synchronization of competitive neural networks with different time scales and time-varying delay based on delay partitioning approach. Int. J. Mach. Learn. & Cyber. 4, 327–337 (2013). https://doi.org/10.1007/s13042-012-0097-5

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  • DOI: https://doi.org/10.1007/s13042-012-0097-5

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