Consensus of third-order multi-agent systems with communication delay
Jin Liu, Baoran An, Huai Yu Wu · 2018
In this paper, the consensus problem is investigated for the third-order multi-agent system with communication delay. Through matrix theory and generalized Nyquist criterion, the sufficient and necessary conditions for directed topology and undirected topology are obtained, respectively. Different from the existing results, this paper focuses on establishing a relationship between the largest tolerable communication delay and non-zero eigenvalues graph Laplacian matrix. Simulation results illustrate the correctness of the results.