Abstract
This paper addresses the asynchronous impulsive consensus of discrete-time nonlinear multi-agent systems with time-varying delays. Moreover, leader-following relationship is considered for the presented multi-agent systems, in which cooperation and competition exist simultaneously. By using the linear matrix inequality (LMI) method and the stability theory for delayed discrete-time impulsive systems, a set of sufficient conditions for consensus are obtained to realize asynchronous exponential impulsive consensus with controllers acting at different time sequences for different agents. Mainly formulated by the topology matrices, impulsive intervals, and gain coefficients, these criteria are easily implemented and have lower energy consumption compared with traditional impulsive control methods. Finally, several numerical simulations are shown to display the effectiveness of the derived theoretical results.
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