Distributed L2 −L∞ consensus of multiagent systems with nonconvex constraints

This paper discusses the L
2
−L
∞
consensus problem for multiagent systems with non-convex constrains. Both L
2
−L
∞
nonconvex constraints and external disturbance are taken into consideration in the same time, under the expected performance, a distributed algorithm based on the introduction of constraint operators is proposed. By using Lyapunov function and constraint operators, some sufficient conditions are given to ensure that each agent reach the L
2
−L
∞
consensus can be achieved.