|本期目录/Table of Contents|

[1]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.
　LI Taoyu,HUANG Zhenkun.Stability of Hybrid Systems with Proportional Delay Based on Pachpatte’s Integral Inequalities[J].Journal of Jimei University,2024,29(1):84-89.
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第29卷
期数:
2024年第1期
页码:
84-89
栏目:
数理科学与信息工程
出版日期:
2024-01-28

文章信息/Info

Title:
Stability of Hybrid Systems with Proportional Delay Based on Pachpatte’s Integral Inequalities
作者:
李陶玉; 黄振坤
集美大学理学院，福建 厦门361021
Author(s):
LI Taoyu; HUANG Zhenkun
School of Science,Jimei University,Xiamen 361021,China
关键词:
稳定性; 脉冲与切换系统; 比例时滞; Pachpatte积分不等式
Keywords:
stability; impulsive and switching systems; proportional delay; Pachpatte’s integral inequalities
分类号:
-
DOI:
-
文献标志码:
A
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 adopted in the literature to obtain the stability results combined with the corresponding criteria.Without time transformation, switched Lyapunov function and Pachpatte’s integral inequalities were employed in this paper to establish new general criteria for exponential stability and asymptotic stability under arbitrary conditional impulsive 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.

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备注/Memo

备注/Memo:
更新日期/Last Update: 2024-04-25