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pth Moment exponential stability of stochastic delayed differential systems with impulsive control involving delays

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Abstract

This paper studies the pth moment exponential stability of stochastic delayed differential systems with impulsive control involving delays. By using the Razumikhin method, average impulsive delay and average dwell-time, sufficient conditions for pth moment exponential stability of stochastic delayed differential systems with impulsive control involving delays are obtained. In addition, we apply the derived theoretical results to nonlinear impulsive stochastic delayed systems. Finally, the validity and generality of the obtained results are demonstrated by an example.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Hunan Normal University, Changsha, 410081, Hunan, People’s Republic of China

    Qiaofeng Li & Jianli Li

  2. Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China), Hunan Normal University, Changsha, Hunan, 410081, People’s Republic of China

    Qiaofeng Li & Jianli Li

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  1. Qiaofeng Li
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  2. Jianli Li
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Correspondence to Jianli Li.

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This work is supported by the NNSF of China (12071105) and Hunan Provincial Natural Science Foundation of China (2023JJ30382).

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Li, Q., Li, J. pth Moment exponential stability of stochastic delayed differential systems with impulsive control involving delays. J. Appl. Math. Comput. 70, 1633–1645 (2024). https://doi.org/10.1007/s12190-024-02026-2

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  • DOI: https://doi.org/10.1007/s12190-024-02026-2

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