Distributed robust control of linear multi-agent systems under directed topology

This paper investigates the distributed robust control problem of multi-agent systems with general linear dynamics and under directed communication topology. The dynamics of each agent is subjected to independent norm-bounded uncertainties, making the system heterogenous to some extent. By utilizing M-matrix approach, an algorithm is proposed for the parameters´ designs to ensure the stabilization of all the states of agents under continuous state feedback control of the root agent. Furthermore, sufficient conditions are also provided to guarantee the robust stabilization when the state feedback control of the root agent is activated intermittently. Finally, numerical examples are provided to verify the effectiveness of the main results.