具有随机脉冲矩的非线性奇异微分系统的一些稳定性结果

Arumugam Vinodkumar, Sivakumar Harinie, Michal Feckan, J. Alzabut
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引用次数: 0

摘要

研究了随机脉冲非线性奇异微分系统的指数稳定性。利用随机脉冲时间点的李雅普诺夫函数方法,建立了奇异微分系统的一些新的充分条件。此外,为了验证理论结果的有效性,我们最后给出了两个用图形说明研究的数值例子和一个涉及复条目矩阵的额外例子,证明了在这种情况下结果也是正确的。
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Some stability results on non-linear singular differential systems with random impulsive moments
This paper studies the exponential stability for random impulsive non-linear singular differential systems. We established some new sufficient conditions for the proposed singular differential system by using the Lyapunov function method with random impulsive time points. Further, to validate the theoretical results' effectiveness, we finally gave two numerical examples that study with graphical illustration and an additional example involving matrices with complex entries, proving the results to be true in that case as well.
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来源期刊
CiteScore
3.30
自引率
6.20%
发文量
13
审稿时长
16 weeks
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