具有不确定性脉冲系统的鲁棒有限时间稳定性  

Research on Robust Finite-Time Stability of Impulsive Systems with Uncertainty

作　　者：杨祯 刘斌[1] 李梦歌 周小奇 YANG Zhen;LIU Bin;LI Mengge;ZHOU Xiaoqi(College of Science,Hunan University of Technology,Zhuzhou Hunan 412007,China;College of Electrical and Information Engineering,Hunan University of Technology,Zhuzhou Hunan 412007,China;College of Liberal Studies,Hunan University of Information Technology,Changsha 410151,China)

机构地区：[1]湖南工业大学理学院,湖南株洲412007 [2]湖南工业大学电气与信息工程学院,湖南株洲412007 [3]湖南信息学院通识学院,湖南长沙410151

出　　处：《湖南工业大学学报》2025年第4期89-95,共7页Journal of Hunan University of Technology

基　　金：国家自然科学基金资助项目(62073132)。

摘　　要：主要研究了具有不确定性脉冲系统的有限时间稳定性。首先,基于比较原理,引入Hamilton-Jacobi/Riccati不等式,分别得到不确定性脉冲系统有限时间稳定性和鲁棒有限时间稳定性的判据。然后,通过两个数值例子验证了所得结果的有效性。A research has been made mainly on the finite-time stability of impulsive systems with uncertainty.Firstly,based on the comparison principle,Hamilton-Jacobi/Riccati inequality has been introduced so as to obtain the criterion of finite-time stability and finite-time robust stability of impulsive systems with uncertainty,respectively.Finally,the validity of the obtained results can be verified by two numerical examples.

关 键 词：不确定性脉冲系统 有限时间稳定性 鲁棒有限时间稳定性 比较原理 

分 类 号：O193[理学—数学]