Composite‐rotating consensus of multi‐agent systems with a leader and nonuniform delays

Abstract

This paper focuses on the composite‐rotating consensus problem of second‐order multi‐agent systems with a leader and nonuniform time‐delays. First, a distributed control law is proposed to solve this problem. Second, by using the complex frequency domain analysis method, the maximal upper bound of time‐delays is deduced and it is proven that all agents eventually rotate around a common point while this point rotates around the origin, provided all communication time‐delays are less than the the maximal upper bound of time‐delays. Finally, simulation results are provided to demonstrate the effectiveness of the theoretical results.

Consensus Control of Multi-Agent Systems by Intermittent Brownian Noise Stabilization Scheme

“…The theoretical basis for multi-agent dynamic network consensus is established in [2]. In some early studies, most of them focused on determin-istic systems [3]- [8]. Among them, the distributed consensus problem of multi-agent systems on directed networks has been studied [7].…”

“…Among them, the distributed consensus problem of multi-agent systems on directed networks has been studied [7]. The composite rotational consensus problem for second-order multi agent systems with leader and nonuniform time delays is studied [8]. However, because there are several types of noises in reality, it is important to examine the dynamic characteristics of multi-agent systems when random noises are present.…”