On Grounding Additional Nodes in a Grounded Consensus Network *

Grounding of a node in a consensus network is a disruption by which the grounded node is no longer affected by other agents but it continues to influence the network, possibly in harmful ways. Indeed, grounding may cause consensus networks to have undesirable consensus performance or even unconsensusability. One possible countermeasure was recently proposed to recover from the effect of grounding by additionally grounding more nodes. In this paper, we further study the selection criteria for additional nodes to ground as a countermeasure in order to recover the consensus performance. Two effective and computationally efficient algorithms are proposed to assist in the selection of the additional nodes to ground.