Constraint impulsive consensus of nonlinear multi-agent systems with impulsive time windows

被引：5
|
作者：
Zhang, Qiangqiang [1 ]
Han, Yiyan [2 ,3 ]
Li, Chuandong [1 ]
You, Le [1 ]
机构：
[1] Southwest Univ, Chongqing Key Lab Nonlinear Circuits & Intelligen, Coll Elect & Informat Engn, Chongqing 400715, Peoples R China
[2] Huazhong Univ Sci & Technol, Sch Artificial Intelligence & Automat, Wuhan 430074, Peoples R China
[3] Educ Minist China, Key Lab Image Proc & Intelligent Control, Wuhan 430074, Peoples R China
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 04期
基金：
中国国家自然科学基金;
关键词：
constraint impulsive consensus; nonlinear multi-agent systems; saturation impulse; directed network; impulsive time windows; FUNCTIONAL-DIFFERENTIAL EQUATIONS; NEURAL-NETWORKS; SYNCHRONIZATION; STABILITY; FINITE; COORDINATION; LEADERLESS; DELAYS;
D O I：
10.3934/math.2020238
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the constraint impulsive consensus problem of nonlinear multi-agent systems in directed network is discussed. Impulsive time windows are designed for solving consensus problem of multi-agent systems. Different from the traditional impulsive protocol with fixed impulsive intervals, the impulsive protocol with impulsive time windows, where the impulsive instants can be changed randomly, is more effective and flexible. In addition, saturation impulse is also considered to restrict the jumping value of impulse beyond the threshold. Based on algebraic graph theory, matrix theory, and convex combination analysis, some novel conditions of impulsive consensus have been proposed. Our main results indicate that constraint impulsive consensus of the multi-agent systems via impulsive time windows can be achieved if the nonlinear systems satisfy suitable conditions. Numerical simulations are presented to validate the effectiveness of theoretical results.
引用
收藏
页码：3682 / 3701
页数：20
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