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

• 成果类型: Article
• 署名作者: Wang, Bo; Tian, Yu-Ping; Han, Zhimin
• 署名单位: Hangzhou Dianzi University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3292135
• 发表日期: 2023
• 页码: 8178-8184
• 关键词: convergence; multiagent systems (MASs); quadratic Lyapunov function; time-varying networks

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.