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Nonfragile synchronization control of T-S fuzzy Markovian jump complex dynamical networks

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  • Zhong, Yuguang
  • Song, Dening

Abstract

This paper investigates the nonfragile dissipativity synchronization control problem of discrete-time Takagi-Sugeno (T-S) fuzzy Markovian jump complex dynamical networks. Considering the randomly occurring uncertainty, the nonfragile synchronization controller is proposed. According to the strict dissipative performance, a sufficient condition is developed to ensure that the complex network is stochastically stable by using the fuzzy-basis-dependent and mode-dependent Lyapunov function. Then, new design conditions about the nonfragile controller are obtained in the form of linear matrix inequalities. Finally, the validity of the established theoretical results is illustrated by a numerical example.

Suggested Citation

  • Zhong, Yuguang & Song, Dening, 2023. "Nonfragile synchronization control of T-S fuzzy Markovian jump complex dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923002436
    DOI: 10.1016/j.chaos.2023.113342
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    References listed on IDEAS

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    1. M. Syed Ali & M. Usha & Quanxin Zhu & Saravanan Shanmugam, 2020. "Synchronization Analysis for Stochastic T-S Fuzzy Complex Networks with Markovian Jumping Parameters and Mixed Time-Varying Delays via Impulsive Control," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-27, July.
    2. Kang, Yu & Zhang, Niankun & Chen, Guoyong, 2023. "Global exponential stability of impulsive switched positive nonlinear systems with mode-dependent impulses," Applied Mathematics and Computation, Elsevier, vol. 436(C).
    3. Peng, Shuo & Wang, Qingzhi & Fu, Baozeng, 2022. "Exponential stabilization of chaotic systems based on fuzzy time-triggered intermittent control," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    4. Shi, Shuang & Fei, Zhongyang & Shi, Zhenpeng & Ren, Shunqing, 2018. "Stability and stabilization for discrete-time switched systems with asynchronism," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 520-536.
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    Cited by:

    1. Zheng, Wei & Zhang, Zhiming & Lam, Hak-Keung & Sun, Fuchun & Wen, Shuhuan, 2023. "LMIs-based exponential stabilization for interval delay systems via congruence transformation: Application in chaotic Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

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