Distributed optimization consensus for multi-agent systems on matrix-weighted networks

In this paper, the distributed optimization consensus issues for both first-order continuous time (CT) and discrete-time (DT) multi-agent systems (MASs) on matrix-weighted networks are studied. In order to make each agent achieve optimization consensus, a new matrix-weighted distributed optimization algorithm for CT and DT MASs is proposed. Using the Lyapunov stability theory and matrix theory, the optimization consensus conditions are obtained, respectively. Finally, the correctness of our results is verifiied by numerical examples.