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Finite-Time Stochastic Stability of Random Impulsive Positive System

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Abstract

The paper focuses on the finite-time stochastic stability (FTSS) problems for positive system with random impulses. Combining Lyapunov functions with the probability property of the impulsive interval, first, the sufficient conditions of FTSS for the positive systems affected by one type of random impulses are given; second, the criteria of FTSS for positive systems suffered from multiple types of random impulses are established. Finally, two examples are presented to show the validity of results.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, China

    Lijie You & Xiaowu Mu

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  1. Lijie You
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  2. Xiaowu Mu
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Correspondence to Xiaowu Mu.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 11571322 and 11971444.

This paper was recommended for publication by Editor LIU Yungang.

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You, L., Mu, X. Finite-Time Stochastic Stability of Random Impulsive Positive System. J Syst Sci Complex 34, 912–923 (2021). https://doi.org/10.1007/s11424-020-9273-y

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  • DOI: https://doi.org/10.1007/s11424-020-9273-y

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