Exponential stabilization of fractional-order continuous-time dynamic systems via event-triggered impulsive control

被引：3
|
作者：
Yu, Nanxiang [1 ,2 ]
Zhu, Wei [1 ,2 ]
机构：
[1] Chongqing Univ Posts & Telecommunicat, Sch Comp Sci & Technol, Chongqing 400065, Peoples R China
[2] Chongqing Univ Posts & Telecommunicat, Key Lab Intelligent Anal & Decis Complex Syst, Chongqing 400065, Peoples R China
来源：
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2022年 / 27卷 / 03期
基金：
中国国家自然科学基金;
关键词：
event-triggered; impulsive control; fractional order; exponential stabilization; synchronization; MULTIAGENT SYSTEMS; CONSENSUS; OBSERVER; DELAY; FLOW;
D O I：
10.15388/namc.2022.27.26638
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Exponential stabilization of fractional-order continuous-time dynamic systems via event-triggered impulsive control (EIC) approach is investigated in this paper. Nonlinear and linear fractional-order continuous-time dynamic systems are studied, respectively. The impulsive instants are determined by some given event-triggering function and event-triggering condition, which are dependent on the state of the systems. Sufficient conditions on exponential stabilization for nonlinear and linear cases are presented, respectively. Moreover, the Zeno-behavior of impulsive instants is excluded. Finally, the validity of theoretical results are also illustrated by some numerical simulation examples including the synchronization control of fractional-order jerk chaotic system.
引用
收藏
页码：592 / 608
页数：17
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