Scaled Consensus of Second-Order Nonlinear Multiagent Systems With Time-Varying Delays via Aperiodically Intermittent Control

In this paper, the scaled consensus of multiagent systems (MASs) with second-order nonlinear dynamics and time-varying delays is investigated, where agents are supposed to aperiodically communicate with each other under a directed graph at some disconnected time intervals. Different from the existing works, we consider the case where time-varying delays exist in both nonlinear dynamics and communication networks. First, to address this problem, we propose a novel scaled consensus protocol. Second, using Lyapunov theory and graph theory, it is proved that under mild conditions, MASs with second-order nonlinear dynamics exponentially reach scaled consensus. Moreover, we extend our results to the case of leader-following scaled consensus. Finally, the simulation examples are included to verify the effectiveness of the theoretical results.