Distributed optimal coordination of multiple heterogeneous linear systems over unbalanced directed communication networks

This paper investigates the distributed optimal coordination (DOC) problem for multiple heterogeneous linear systems over strongly connected communication networks. By exploiting output regulation techniques, constructing a Laplacian matrix based on the outdegree, and assigning each agent an additional scalar state variable, a new DOC algorithms is developed, which can solve the DOC problem using the outdegree information of all agents. In contrast to the existing results, this paper presents a new technique to solve the DOC problem for multiple heterogeneous linear systems over weighted-unbalanced communication networks. Finally, numerical simulations are presented to illustrate the effectiveness of the designed algorithm.