Stability Analysis for Consensus Systems with Distributed Time Delays

Abstract

In the present paper, we consider stability of consensus of multi-agent systems with switching topologies and communication delays. Here, it is assumed that the communication delays are a series of time-dependent random variables. Due to these assumptions, the time evolution of the states of the agents is described by non-autonomous functional differential equations with distributed time delays. In a multi-agent system with switching topology and distributed time delays, we show that the switching manner determines the achievement of the consensus based on a Lyapunov functional. In order to demonstrate our theoretical result, we carry out numerical simulations.