集美大学学报（自然科学版）2024，Vol.29Issue(1)：84-89,6.DOI:10.19715/j.jmuzr.2024.01.11
Pachpatte积分不等式的比例时滞混合系统稳定性
Stability of Hybrid Systems with Proportional Delay Based on Pachpatte's Integral Inequalities
摘要
Abstract
A class of hybrid impulsive and switching systems with proportional delay was studied in this paper.For proportional delay,converting proportional delay into constant delay by time transformation is adopt-ed in the literature to obtain the stability results combined with the corresponding criteria.Without time trans-formation,switched Lyapunov function and Pachpatte's integral inequalities were employed in this paper to es-tablish new general criteria for exponential stability and asymptotic stability under arbitrary conditional impul-sive switching.Finally,an example was given to illustrate the theoretical results.It was shown that the chaotic system with proportional delay tends to be stable by the designed impulsive control.关键词
稳定性/脉冲与切换系统/比例时滞/Pachpatte积分不等式Key words
stability/impulsive and switching systems/proportional delay/Pachpatte's integral inequalities分类
数理科学引用本文复制引用
李陶玉,黄振坤..Pachpatte积分不等式的比例时滞混合系统稳定性[J].集美大学学报（自然科学版）,2024,29(1):84-89,6.基金项目
国家自然科学基金项目(61573005) （61573005）
福建省自然科学基金项目(2019J01330) （2019J01330）
