关于具有时变延迟的奇异马尔可夫跃迁系统有限时间稳定性的新结果

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems Pub Date : 2024-10-21 DOI:10.1016/j.nahs.2024.101548

Shaohua Long , Mei Huang , Shouming Zhong

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引用次数: 0

摘要

本文主要研究具有时变延迟的奇异马尔可夫跃迁系统的有限时间稳定性问题。首先，本文提出了一些对所考虑系统的有限时间稳定性问题非常重要的新不等式。其次，通过利用这些新的不等式和 Lyapunov-Krasovskii 函数方法，本文推导出一些充分条件，以保证所考虑的系统是正则、无脉冲和有限时间稳定的。最后，本文给出了三个数值示例，以说明所提方法的有效性和优势。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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New results on finite-time stability of singular Markovian jump systems with time-varying delay

In this paper, we focus on the finite-time stability problem of singular Markovian jump systems with time-varying delay. Firstly, this paper presents some new inequalities which are very important to the finite-time stability problem of the considered systems. Secondly, by employing these new inequalities and the Lyapunov–Krasovskii functional approach, this paper derives some sufficient conditions that guarantee the considered systems to be regular, impulse-free and finite-time stable. Finally, three numerical examples are given to illustrate the effectiveness and advantage of the proposed methods.

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来源期刊

Nonlinear Analysis-Hybrid Systems AUTOMATION & CONTROL SYSTEMS-MATHEMATICS, APPLIED

CiteScore

8.30

自引率

9.50%

发文量

审稿时长

>12 weeks

期刊介绍： Nonlinear Analysis: Hybrid Systems welcomes all important research and expository papers in any discipline. Papers that are principally concerned with the theory of hybrid systems should contain significant results indicating relevant applications. Papers that emphasize applications should consist of important real world models and illuminating techniques. Papers that interrelate various aspects of hybrid systems will be most welcome.