Stationary consensus of heterogeneous multi-agent systems with random delays governed by a Markov chain

摘要

The stationary consensus problem of leader-less heterogenous multi-agent systems subject to Markov jumping delays is addressed in this paper in sampled-data settings. By using a model transformation approach and Lyapunov stability theory, sufficient conditions for consensus are derived in terms of matrix inequalities. Based on cone complementarity linearization (CCL), an algorithm is proposed for the delay-dependent controller design. A numerical example is provided to verify the effectiveness of the proposed approach.