Leader-following consensus of linear discrete-time multi-agent systems subject to jointly connected switching networks

In this paper, we further study the leader-following consensus problem for a class of linear discrete-time multi-agent systems subject to jointly connected switching digraphs. We first establish a stability result for a class of linear switched systems under a more relaxed assumption than those in the literature. Then, we apply this stability result to obtain the solution to our problem, which contains previous results as special cases. Finally, we apply our result to an example that cannot be handled by any existing result.