Consensus stability of discrete-time descriptor multi-agent systems

In this paper, the consensus problem of discrete-time descriptor multi-agent systems is considered. Each agent's dynamics is given in general form of discrete-time linear descriptor system, and the communication topology among the agents is assumed to be directed topology. To solve the multi-agent consensus problem, a distributed consensus protocol based on state disagreement is proposed for each agent. A modified generalized Riccati equations is provided to design the feedback gain matrix, and a sufficient consensus condition is established to guarantee the descriptor multiagent system achieves consensus. Finally, a simulation example is provided to illustrate the obtained result.