改进的循环函数法，用于分析与停留时间有关的脉冲系统稳定性

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

Nonlinear Analysis-Hybrid Systems Pub Date : 2024-02-17 DOI:10.1016/j.nahs.2024.101477

Hong-Bing Zeng, Wei-Min Wang, Wei Wang, Hui-Qin Xiao

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引用次数: 0

摘要

本文利用一种新的依赖时间平方的循环函数，研究了脉冲系统依赖停留时间的稳定性分析。基于 Lyapunov 理论和双面循环函数方法，提出了一种时间平方依赖循环函数，它充分利用了 [tk,t] 和 [t,tk+1] 两个区间的信息。然后，通过应用詹森不等式和基于自由矩阵的不等式来处理函数导数中的积分项，以线性矩阵不等式的形式推导出周期性和非周期性脉冲系统的充分稳定性条件。最后，给出了数值示例和模拟测试，以说明所提方法的有效性和优越性。

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Improved looped-functional approach for dwell-time-dependent stability analysis of impulsive systems

This paper studies the dwell-time-dependent stability analysis of impulsive systems by using a new time-square-dependent looped-functional. Based on the Lyapunov theory and two-sided looped-functional method, a time-square-dependent looped-functional is proposed, which fully utilizes the information of both the intervals $[t_{k}, t]$ and $[t, t_{k + 1}]$ . Then, by applying Jensen’s inequality and free-matrix-based inequalities to deal with integral terms in the functional derivatives, sufficient stability conditions in the form of linear matrix inequality are derived for periodic and aperiodic impulsive systems. Finally, numerical examples and simulation tests are given to illustrate the effectiveness and superiority of the proposed method.

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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.