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

页码：8178 / 8184

页数：7

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