Finite-time distributed projection scheme for intersections of convex sets

Dear editor, Recently,finite-time consensus of multi-agent systems has attracted extensive attention of many researchers due to its wide application in physics,biology,and control engineering.Cortes[1]provided a signed gradient descent algorithm that can be used to solve the consensus of multi-agent systems with undirected connected topology in finite time.Sun-daram et al.[2]gave a linear iteration scheme for solving consensus in distributed systems in a finite number of time steps.In order to control all agents for achieving finite-time couseusus,Wang et al.[3]proposed two simple algorithms and provided a good framework to prove the effectiveness of these algorithms.Wang et al.[4]studied multi-agent sys-tems with switching topology and first-order dynamics,and constructed several distributed finite-time consensus rules for solving the x-consensus problem.Lin et al.[5]stud-ied the distributed constrained optimization problem.The controller designed by Lin enables multi-agent systems to achieve finite-time consensus,but minimizes the sum objec-tive function as t → ∞.