Consensus of different-order switched multi-agent systems on matrix-weighted networks

Abstract

This paper considers the consensus issue for continuous time different-order switched multi-agent systems over matrix weighted networks. A new consensus protocol is designed for second-order and first-order subsystem, respectively. Under the designed algorithm, utilizing matrix theory, variable transformation and Lyapunov stability theory, two methods are used to obtain the consensus criterion of different-order switched matrix weighted MASs, which depend on factors such as network topology, coupling gains, and average dwell time.