Distributed Stabilized Region Regulator for Discrete-Time Dynamics

This chapter presents a stabilized region regulator method to solve the output synchronization problem for discrete-time multi-agent systems. The topology structure for the information communication of the agents contains a spanning tree. The innovation of our result is that a stabilized region is designed for discrete-time multi-agent systems and the synchronization problem could be solved by choosing the appropriate parameters. A distributed dynamic feedback control law is designed such that the distribution of eigenvalues of Laplacian matrix could be regulated into the specified region, and then some sufficient conditions used to guarantee output synchronization are presented. At last, the result is extended to the uncertain multi-agent systems