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
李陶玉 1黄振坤1
作者信息
- 1. 集美大学理学院,福建 厦门 361021
- 折叠
摘要
研究一类具有比例时滞的混合脉冲切换系统.对于比例时滞,通常通过时间变换将比例时滞转换为常数时滞,并结合相应的判据得到稳定性结果.不再基于时间变换,而是利用切换Lyapunov函数和Pachpatte积分不等式,建立任意条件脉冲切换下指数稳定性和渐近稳定性的新判据.最后,通过实例来验证理论结果,结果表明,本文所设计的脉冲控制可以使具有比例时滞的混沌系统趋于稳定.
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引用本文复制引用
基金项目
国家自然科学基金项目(61573005)
福建省自然科学基金项目(2019J01330)
出版年
2024
国家科技期刊平台
NSTL
万方数据