Corrections to “Optimal Energy Consumption for Consensus of Multi-Agent Systems With Communication Faults”

Abstract

In the above article [1], the authors found some mistakes: (P1) a controller composed of a consensus part and an obstacle avoidance part was proposed, but only the consensus part was theoretically analyzed. Therefore, the obtained result was incomplete; (P2) the method in [1] was applicable to linear systems; however, the designed obstacle avoidance matrix $V$ made the system to be a nonlinear system when two sub-controllers were considered as a whole. In addition, the time-varying matrix $V$ cannot guarantee that its eigenvalues were greater than 0 all the time. These led to the error of Theorem 3 in [1]. Therefore, the corrected results are given here.