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Multisynchronization for Coupled Multistable Fractional-Order Neural Networks via Impulsive Control

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  • Jin-E Zhang

Abstract

We show that every subnetwork of a class of coupled fractional-order neural networks consisting of identical subnetworks can have locally Mittag-Leffler stable equilibria. In addition, we give some algebraic criteria for ascertaining the static multisynchronization of coupled fractional-order neural networks with fixed and switching topologies, respectively. The obtained theoretical results characterize multisynchronization feature for multistable control systems. Two numerical examples are given to verify the superiority of the proposed results.

Suggested Citation

  • Jin-E Zhang, 2017. "Multisynchronization for Coupled Multistable Fractional-Order Neural Networks via Impulsive Control," Complexity, Hindawi, vol. 2017, pages 1-10, August.
    • Handle: RePEc:hin:complx:9323172
    DOI: 10.1155/2017/9323172
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    1. Zhang, Lingzhong & Yang, Yongqing & Wang, Fei, 2017. "Projective synchronization of fractional-order memristive neural networks with switching jumps mismatch," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 402-415.
    2. Martínez-Guerra, Rafael & Cruz-Ancona, Christopher D. & Pérez-Pinacho, Claudia A., 2016. "Generalized multi-synchronization viewed as a multi-agent leader-following consensus problem," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 226-236.
    3. Zhang, Lei & Song, Qiankun & Zhao, Zhenjiang, 2017. "Stability analysis of fractional-order complex-valued neural networks with both leakage and discrete delays," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 296-309.
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