Admissible consensus analysis and control for a class of singular multi-agent systems

This paper focus on the admissible consensus problem for a class of singular discrete-time multi-agent systems. Based on graph, algebra and singular system theory, the consensus protocol of static output feedback form is proposed and designed. Sufficient and necessary conditions are obtained to solve the consensus problem for singular discrete-time multi-agent systems. The conditions depend on the topologies of singular multi-agent systems and the structure properties of each agent dynamic. Moreover, the specific design steps of the proposed protocols are also given by an algorithm. A numerical example is provided to verify effectiveness of obtained theoretical results.