Stability of nonlinear variable-time impulsive differential systems with delayed impulses

被引：24
|
作者：
He, Zhilong [1 ,2 ]
Li, Chuandong [1 ]
Cao, Zhengran [1 ]
Li, Hongfei [3 ]
机构：
[1] Southwest Univ, Coll Elect & Informat Engn, Chongqing Key Lab Nonlinear Circuits & Intelligen, Chongqing 400715, Peoples R China
[2] Xinjiang Univ Finance & Econ, Sch Finance, Urumqi 830012, Peoples R China
[3] Peking Univ, State Key Lab Turbulence & Complex Syst, Dept Mech & Engn Sci, BIC ESAT,Coll Engn, Beijing 100871, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2021年 / 39卷
基金：
中国国家自然科学基金;
关键词：
Nonlinear system; Variable-time impulses; Delayed impulses; Quasi-uniformly asymptotic stability; Quasi-exponential stability; EXPONENTIAL STABILITY; DYNAMICAL NETWORKS; TRACKING CONTROL; CHAOTIC SYSTEMS; NEURAL-NETWORKS; SYNCHRONIZATION; STABILIZATION; EQUATIONS; EXISTENCE; CRITERIA;
D O I：
10.1016/j.nahs.2020.100970
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the stability of nonlinear variable-time impulsive differential systems with delayed impulses. By using the comparison principle, the Lyapunov method and inequality techniques, some sufficient conditions for quasi-uniformly asymptotic stability and quasi-exponential stability of a given solution of variable-time impulsive differential systems with delayed impulses are established. (c) 2020 Elsevier Ltd. All rights reserved.
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页数：15
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