Semi-global Bipartite Consensus of Discrete-time Linear Multi-agent Systems with Input Saturation via Asynchronous Intermittent Control

Abstract

The distributed asynchronous intermittent semi-global bipartite consensus of the multi-agent systems (MASs), which are discrete-time linear and constrained by input saturation, is investigated in this paper. First, the bipartite consensus problem with fixed topology is solved via an asynchronous intermittent control strategy. It has proven that a connected, structurally balanced topology and a communication rate of at least a positive constant allow for the realization of the semi-global bipartite consensus. Then, using switching topology, the obtained solutions are applied to the corresponding problems of the MASs, which is discrete time with input saturation. Finally, numerical simulations that exemplify the theoretical findings are presented.