Stationary and dynamic consensus of second-order multi-agent systems with Markov jumping input delays

This study investigates the consensus problem of second-order multi-agent systems which are subject to Markov jumping input delays. A unified framework is established to address both the stationary and dynamic consensus issues in sampled-data settings. The authors first derive the sufficient conditions for consensus in terms of matrix inequalities. Thereafter, a cone complementarity linearisation-based algorithm and its simplified implementation alternative are proposed for the delay-dependent switching controller design. Compared with the existing works, the proposed algorithms possess less conservativeness and larger solution domains. Finally, numerical examples are provided to illustrate the effectiveness of the proposed approaches.