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Stability analysis of state-dependent impulsive systems via a new two-sided looped functional

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  • Huan, Mingchen
  • Li, Chuandong

Abstract

In this paper, the asymptotic stability of state-dependent impulsive systems is addressed by virtue of looped-functional approach. Firstly, based on B-equivalence method, a fixed-time impulsive comparison system is derived, which is B-equivalent with the original state-dependent impulsive system. Then the asymptotic stability criteria of state-dependent impulsive system are obtained by employing a new two-sided looped functional to analyze the comparison system with fixed-time impulses. The theoretical results are applied to Takagi-Sugeno (T-S) fuzzy impulsive control. The effectiveness of the proposed results is verified by two numerical examples.

Suggested Citation

  • Huan, Mingchen & Li, Chuandong, 2022. "Stability analysis of state-dependent impulsive systems via a new two-sided looped functional," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    • Handle: RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921011127
    DOI: 10.1016/j.chaos.2021.111758
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    References listed on IDEAS

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    1. Wu, Hongjuan & Li, Chuandong & He, Zhilong & Wang, Yinuo & He, Yingying, 2021. "Lag synchronization of nonlinear dynamical systems via asymmetric saturated impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Wang, Hui & Liao, Xiaofeng & Li, Chuandong, 2007. "Existence and exponential stability of periodic solution of BAM neural networks with impulse and time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 1028-1039.
    3. 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.
    4. He, Zhilong & Li, Chuandong & Li, Hongfei & Zhang, Qiangqiang, 2020. "Global exponential stability of high-order Hopfield neural networks with state-dependent impulses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    5. Vafamand, Navid & Khorshidi, Shapour & Khayatian, Alireza, 2018. "Secure communication for non-ideal channel via robust TS fuzzy observer-based hyperchaotic synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 116-124.
    6. Mahmoudabadi, Parvin & Tavakoli-Kakhki, Mahsan, 2021. "Tracking control with disturbance rejection of nonlinear fractional order fuzzy systems: Modified repetitive control approach," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
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    Cited by:

    1. Huan, Mingchen & Li, Chuandong, 2023. "Synchronization of reaction–diffusion neural networks with sampled-data control via a new two-sided looped-functional," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    2. Xie, Xiang & Li, Xiaodi & Liu, Xinzhi, 2023. "Event-triggered impulsive control for multi-agent systems with actuation delay and continuous/periodic sampling," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).

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