具有不同输入时延的二阶多智能体系统一致性

摘要

A consensus problem is discussed about the second-order multi-agent system with multiple time-varying input delays.Firstly,by variable transformution,the convergence problem of second-order multi-agent systems is converted into the stability problem of an error system.Then,by system transformution,the stability problem of the second-order system is converted into the stability problem of the equivalent system.Based on linear matrix inequalities (LMI),by constructing Lyapunov-Krasovskii functions,sufficient conditions of consensus in undirected networks are obtained.At last,examples are given to demonstrate the effictiveness of the conclusion.%研究了具有不同时变输入时延的二阶连续多智能体系统的一致性问题.首先,通过变量转换,将系统的收敛性问题转化为误差系统的稳定问题;然后,通过对系统进行变换,将二阶系统稳定性问题转换为等价系统的稳定性问题.通过构造李雅普诺夫函数,基于线性矩阵不等式(LMI)的方法,给出在无向固定拓扑条件下,系统达到一致的充分条件.最后,仿真实例证明了结果的有效性.