Input-to-state stability for stochastic multi-group models with multi-dispersal and time-varying delay

Ying Guo, Wei Zhao and Xiaohua Ding

Applied Mathematics and Computation, 2019, vol. 343, issue C, 114-127

Abstract: In this paper, the input-to-state stability (ISS) for a general class of stochastic multi-group models with multi-dispersal and time-varying delay is investigated. By means of graph theory and Lyapunov method as well as stochastic analysis techniques, sufficient criteria including a Lyapunov-type theorem and a coefficient-type theorem are obtained to guarantee that the proposed model is input-to-state stable. In addition, to show the applicability of our findings, the coefficient-type theorem is employed to study the ISS of stochastic coupled oscillators with time-varying delay and control input. Finally, a numerical example is offered to illustrate the effectiveness of the theoretical results.

Keywords: Input-to-state stability; Stochastic multi-group models; Time-varying delay; Graph theory (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:343:y:2019:i:c:p:114-127

DOI: 10.1016/j.amc.2018.07.058

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