Containment Control for Multi-agent Systems With Markovian Switching Topologies and Bounded Exogenous Disturbances

This paper investigates the containment control for multi-agent systems (MASs) with bounded exogenous disturbances under switching topologies. The switching behavior of communication topologies is modeled by a Markov process. The dynamics of control errors are exponentially ultimately bounded, and the stability analysis of MASs is addressed by designing mode-dependent Lyapunov functions through linear matrix inequality (LMI) conditions. Moreover, a sufficient criterion is established ensuring that follower states converge asymptotically to the leader-generated convex hull in the mean-square sense. Finally, numerical simulations validate the effectiveness of the proposed method, providing a theoretical basis and practical reference for MAS containment control in complex dynamic environments.