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Uniform stability of delayed impulsive reaction–diffusion systems

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  • Suriguga, Ma
  • Kao, Yonggui
  • Hyder, Abd-Allah

Abstract

In this article, the stability problem of impulsive reaction–diffusion functional differential equations (IRFDEs) is discussed. Applying Lyapunov functional method and the comparison principle of IRFDEs, some useful criteria are acquired to assure uniform stability and uniformly asymptotical stability of the equilibrium point of IRFDEs, respectively. Finally, a numerical example is provided to show the validity of our findings.

Suggested Citation

  • Suriguga, Ma & Kao, Yonggui & Hyder, Abd-Allah, 2020. "Uniform stability of delayed impulsive reaction–diffusion systems," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    • Handle: RePEc:eee:apmaco:v:372:y:2020:i:c:s0096300319309464
    DOI: 10.1016/j.amc.2019.124954
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    References listed on IDEAS

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    1. Zhang, Caihong & Kao, Yonggui & Kao, Binghua & Zhang, Tiezhu, 2018. "Stability of Markovian jump stochastic parabolic Itô equations with generally uncertain transition rates," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 399-407.
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    3. Kao, Yonggui & Zhu, Quanxin & Qi, Wenhai, 2015. "Exponential stability and instability of impulsive stochastic functional differential equations with Markovian switching," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 795-804.
    4. Wang, Jing & Hu, Xiaohui & Wei, Yunliang & Wang, Zhen, 2019. "Sampled-data synchronization of semi-Markov jump complex dynamical networks subject to generalized dissipativity property," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 853-864.
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    6. Tai, Weipeng & Teng, Qingyong & Zhou, Youmei & Zhou, Jianping & Wang, Zhen, 2019. "Chaos synchronization of stochastic reaction-diffusion time-delay neural networks via non-fragile output-feedback control," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 115-127.
    7. Wang, Jing & Ru, Tingting & Xia, Jianwei & Wei, Yunliang & Wang, Zhen, 2019. "Finite-time synchronization for complex dynamic networks with semi-Markov switching topologies: An H∞ event-triggered control scheme," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 235-251.
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