Matrix measure-based event-triggered consensus of multi-agent systems with hybrid time delays

Considering that there are many systems with limited energy resources in reality, this paper mainly concentrates on researching the leader-following consensus issue for an array of nonlinear multi-agent systems with hybrid time delays. The purpose of this article is to reduce the load of communication and controller updates for multi-agent systems on the basis of consensus achieving, a novel distributed event-triggered impulsive control strategy is therefore proposed to realize the global and exponential leader-following consensus. By jointly utilizing the matrix measure protocol, the comparison principle and the parameter variation formula method, sufficient conditions for the realization of leader-following consensus are successfully obtained. Moreover, the convergence rate is precisely estimated and the Zeno behavior is proved not exist in closed-loop systems. Eventually, a numerical example is given to demonstrate the effectiveness of proposed control strategy and the rightness of theoretical analysis.