Reachable set estimation for continuous-time impulsive switched nonlinear time-varying systems with delay and disturbance

被引：4
|
作者：
Zhu, Xingao [1 ]
Liu, Shutang [1 ]
机构：
[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2022年 / 420卷
基金：
中国国家自然科学基金;
关键词：
Reachable set estimation; Nonlinear time-varying system; Delayed impulse; Time delay; Disturbance; HOMOGENEOUS POSITIVE SYSTEMS; EXPONENTIAL STABILITY; STABILIZATION;
D O I：
10.1016/j.amc.2021.126910
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This note is concerned with the problem of reachable set estimation for switched nonlinear time-varying systems with mixed time-varying delay, delayed impulse and disturbance. Based on a novel method which does not involve the usual Lyapunov-Krasovskii functional approach, sufficient conditions, under the designed average dwell time switching, are provided for the characterization of a special sphere such that all the states of the system converge exponentially within it. Moreover, an extension is available to the result of linear time-varying systems. Finally, two simulation results are illustrated by examples to show the validity. (c) 2021 Elsevier Inc. All rights reserved.
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页数：12
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