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

Cheng Peng, Xiaoqi Liu, Rui Kang, Sihan Wang and Shang Gao

Chaos, Solitons & Fractals, 2023, vol. 166, issue C

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.

Keywords: Stochastic input-to-state stability; Stochastic complex dynamical control networks; Impulsive perturbation; Lyapunov method (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:166:y:2023:i:c:s0960077922010761

DOI: 10.1016/j.chaos.2022.112897

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