Consensus Control of Linear Multi-Agent Systems with Non-uniform Time-varying Communication Delays

2020/12/07 by Rajnish Bhusal, Bhusal, Rajnish, Kamesh Subbarao +1
Computer Science · Engineering · #Distributed Control Multi-Agent Systems #FOS: Electrical engineering #FOS: Mathematics #Neural Networks Stability and Synchronization #Optimization and Control (math.OC) #Systems and Control (eess.SY) #UAV Applications and Optimization #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2012.03676

openalex publication_date 2020/12/07 · openalex created_date 2020/12/21 · openalex updated_date 2026/07/28

Abstract

This paper is concerned with the consensus problem for multi-agent systems subject to communication delays between the neighboring agents. We consider a scenario where each agent is characterized by a general high-order linear system and the communication delays between the agents are non-uniform and time-varying. We design a distributed control protocol for the agents and provide an equivalent stability problem to be solved that guarantees the state consensus in the group of agents. Moreover, a delay-dependent stability criterion is provided by combining the Lyapunov-Krasovskii method with the linear matrix inequality approach.

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