一类带有多时滞的奇异Markov跳变正系统的稳定性分析
Stability Analysis for a Class of Positive Singular Markov Jump Systems with Multiple Time Delays
DOI: 10.12677/aam.2024.139390, PDF,    科研立项经费支持
作者: 龙少华*, 顾文鑫：重庆理工大学理学院，重庆；吴云龙：长江师范学院数学与统计学院，重庆
关键词: 奇异系统；Markov跳变正系统；随机稳定；Lyapnov函数；Singular System； Positive Markov Jump System； Stochastic Stability； Lyapunov Function
摘要: 本文讨论了一类奇异Markov跳变正系统的稳定性。所讨论的系统带有多重时滞。借助Lyapnov函数，本文给出了一些充分条件，这些充分条件保证所讨论的系统是正系统。另外，给出的充分条件也保证所讨论的系统是正则、无脉冲和随机稳定的。
Abstract: This paper discusses the stability of a class of positive singular Markov jump systems. The systems considered in this paper have multiple time delays. By employing the Lyapunov function, this paper gives some sufficient conditions. These sufficient conditions ensure that the considered systems are positive. In addition, the given sufficient conditions also ensure that the investigated systems are regular, impulse-free, and stochastically stable.
文章引用：龙少华, 顾文鑫, 吴云龙. 一类带有多时滞的奇异Markov跳变正系统的稳定性分析[J]. 应用数学进展, 2024, 13(9): 4093-4098. https://doi.org/10.12677/aam.2024.139390

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