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Impulsive Consensus of Networked Multi-agent Systems with Distributed Delays in Agent Dynamics and Impulsive Protocols

[+] Author and Article Information
Xinzhi Liu

Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
xinzhi.liu@uwaterloo.ca

Kexue Zhang

Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
kexue.zhang@uwaterloo.ca

Wei-Chau Xie

Department of Civil and Environmental Engineering, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
xie@uwaterloo.ca

1Corresponding author.

ASME doi:10.1115/1.4041202 History: Received March 22, 2017; Revised August 12, 2018

Abstract

This paper studies the consensus problem of networked multi-agent systems (NMASs). Distributed delays are considered in the agent dynamics, and we propose a new type of impulsive consensus protocols that also takes into account of distributed delays. A novel method is developed to estimate the relation between the agent states at the impulsive instants and the distributed-delayed agent states, which helps to use the Razumikhin-type stability result to investigate the consensus of NMASs with distributed-delayed impulses. Sufficient conditions are established to guarantee the network consensus can be reached via the proposed consensus protocols with fixed and switching topologies, respectively. Numerical simulations are also provided to demonstrate our theoretical results.

Copyright (c) 2018 by ASME
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