Convergence to Zero of Quadratic Lyapunov Functions for Multiagent Systems in Time-Varying Directed Networks

被引：0
|
作者：
Wang, Bo [1 ]
Tian, Yu-Ping [1 ]
Han, Zhimin [1 ]
机构：
[1] Hangzhou Dianzi Univ, Sch Automat, Hangzhou 310018, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Convergence; multiagent systems (MASs); quadratic Lyapunov function; time-varying networks; DYNAMICALLY CHANGING ENVIRONMENT; STABILITY ANALYSIS; CONSENSUS SEEKING; AGENTS;
D O I：
10.1109/TAC.2023.3292135
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The quadratic Lyapunov function-based method for consensus analysis of discrete-time single-integrator multiagent systems (MASs) in general time-varying directed networks is not well developed, whereas for continuous-time cases remains blank. This note develops this method for both discrete-time and continuous-time MASs with a constant-gain protocol when the network is uniformly strongly connected. By proving the convergence to zero of quadratic Lyapunov functions, we first establish the exponential consensus convergence results for single-integrator MASs in general time-varying directed networks. Then, we show the proposed method can be applied to the consensus analysis of continuous-time MASs with relative-state-dependent noises. Finally, simulation examples are given to illustrate the effectiveness of the proposed method.
引用
收藏
页码：8178 / 8184
页数：7
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