On adaptive pinning consensus for dynamic multi-agent networks with general connected topology

This paper is concerned with pinning consensus control problem for multi-agent networks with general connected topology which neither needs to be strongly connected nor needs to contain a directed spanning tree. By adopting adaptive control laws, some promising criteria are proposed analytically, which can guarantee the networks to achieve consensus asymptotically. Meanwhile, a novel and effective pinning scheme is addressed as well. In addition, it is interesting to find out that the rule does not always hold, that is the more nodes are pinned, the faster the network converges. Finally, the validity and correctness of our theoretical findings are verified by several numerical simulated experiments.