Consensus of general linear multi-agent systems with intermittent communications

Abstract

This paper studies the consensus of continuous-time/discrete-time general linear multi-agent systems (MASs) with intermittent communications under a directed graph, respectively. By using algebraic graph theory and matrix theory, the equivalence between stabilisation and simultaneous stabilisation is analysed under different agents' dynamics (continuous-time or discrete-time) and network topology (undirected or directed graph). Simultaneously, we give the design methods of control gain matrices and weights. Then, by the average dwell time method of switched system theory, some sufficient consensus criteria for continuous-time/discrete-time general linear MASs are established, respectively. Finally, numerical examples are provided to verify the effectiveness of our results.