Second-order consensus of matrix-weighted switched multiagent systems

Due to the switching characteristics of many practical multi-agent systems, such as automatic speed control systems and hybrid quadcopters, for multidimensional individuals, combined with practical complexity, matrix- weighted switching dynamics are needed to model them. This paper considers the consensus issues of second-order switched multi-agent systems on matrix-weighted undirected and directed networks. Anew matrix-weighted control algorithm suitable for both CT and DT subsystems is proposed. Under the proposed algorithms, based on variable transformation, matrix theory and stability theory, the consensus criteria are established for undirected and directed switched multi-agent networks that rely on the eigenvalues of the network and coupling gains, respectively. This also indicates that the matrix-weights and coupling gains have a significant impact on switched matrix-weighted consensus. Finally, through simulations, the validity of the obtained results of this essay are verified.