Interval stability/stabilization of impulsive positive systems

被引：0

作者：

Xuezhen WANG ^{[1
]}

Huasheng ZHANG ^{[1
]}

Jianwei XIA ^{[1
]}

Wei SUN ^{[1
]}

Guangming ZHUANG ^{[1
]}

机构：

[1] School of Mathematics Science, Liaocheng University

来源：

ScienceChina(InformationSciences) | 2023年 / 66卷 / 01期

基金：

中国国家自然科学基金;

关键词：

D O I：

暂无

中图分类号：

TN78 [脉冲技术、脉冲电路];

学科分类号：

080902 ;

摘要：

This paper investigates the criterion of interval stability of impulsive positive systems with timevarying delay using the idea of generalized pole placement and equivalent systems. Unlike previous stability conditions, the interval stability criterion can more accurately determine the stability of impulsive positive systems. In simple terms, the new criterion can determine the system’s stability and convergence speed.Furthermore, a suitable sufficient condition of interval stabilization is obtained on the basis of the interval stability criterion, which can not only guarantee the stability of impulsive positive systems, but also modulate the state’s convergence rate to the required level. A new algorithm is developed with the interval stabilization approach to accurately control the target system’s convergence rate. Two instances are proposed to prove the superiority of the attainable interval stabilization criterion.

引用

页码：210 / 223

页数：14

共 25 条

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