Abstract
In this paper, prespecified time synchronization (PTS) is addressed for dynamic networks with impulsive effects and directed topology. The less conservative cases considering the synchronizing and desynchronizing impulses simultaneously are presented, and the discontinuous nonlinear functions are also involved. Moreover, by constructing a quantized prespecified time (PT) controller, some constraints on impulsive interval are relaxed, which makes our results more widely applicable. Sufficient conditions are derived to realize PTS of impulsive dynamic networks. In addition, synchronization time of PTS is independent to any parameters. Numerical examples are provided to show the validity of our theoretical results.
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