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

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.