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Stochastic input-to-state stability for stochastic complex dynamical control networks with impulsive perturbation

Author

Listed:
  • Peng, Cheng
  • Liu, Xiaoqi
  • Kang, Rui
  • Wang, Sihan
  • Gao, Shang

Abstract

In this paper, stochastic input-to-state stability (SISS) for stochastic complex dynamical control networks with impulsive perturbation (SCDCNIP) is investigated. An appropriate global Lyapunov function is developed which is closely related to topology of SCDCNIP and dynamical behaviors of every node system of SCDCNIP. Some sufficient criteria are given to guarantee SCDCNIP to meet SISS by imposing the average dwell-time (ADT) condition and reverse average dwell-time (RADT) condition. Moreover, as an application of our theoretical results, typical stochastic coupled oscillators with impulsive perturbation (SCOIP) are studied. Finally, some numerical simulation results are provided to verify the correctness and validity of our results.

Suggested Citation

  • Peng, Cheng & Liu, Xiaoqi & Kang, Rui & Wang, Sihan & Gao, Shang, 2023. "Stochastic input-to-state stability for stochastic complex dynamical control networks with impulsive perturbation," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    • Handle: RePEc:eee:chsofr:v:166:y:2023:i:c:s0960077922010761
    DOI: 10.1016/j.chaos.2022.112897
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    References listed on IDEAS

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    1. Wang, Pengfei & Li, Shaoyu & Su, Huan, 2020. "Stabilization of complex-valued stochastic functional differential systems on networks via impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    2. Zhang, Meng & Zhu, Quanxin, 2022. "Finite-time input-to-state stability of switched stochastic time-varying nonlinear systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    3. Stamov, Gani Tr. & Stamova, Ivanka M., 2014. "Integral manifolds for uncertain impulsive differential–difference equations with variable impulsive perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 65(C), pages 90-96.
    4. Liang Tian & Amir Bashan & Da-Ning Shi & Yang-Yu Liu, 2017. "Articulation points in complex networks," Nature Communications, Nature, vol. 8(1), pages 1-9, April.
    5. Gao, Shang & Wu, Boying, 2015. "On input-to-state stability for stochastic coupled control systems on networks," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 90-101.
    6. Jingyi Lin & Yifang Ban, 2013. "Complex Network Topology of Transportation Systems," Transport Reviews, Taylor & Francis Journals, vol. 33(6), pages 658-685, November.
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    Cited by:

    1. Guo, Ying & Liu, Xiaotong & Long, Xue & Zhang, Junning, 2025. "Prescribed-time stabilization of stochastic complex dynamical networks with aperiodically intermittent pinning control," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    2. Hu, Qitong & Zhang, Xiao-Dong, 2025. "Propagation of stochastic noise in complex network," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).

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