Global $H_\infty $ Pinning Synchronization of Complex Networks With Sampled-Data Communications

This paper investigates the global H
_∞
pinning synchronization problem for a class of complex networks with aperiodic samplings. Combined with the Writinger-based integral inequality, a new less conservative criterion is presented to guarantee the global pinning synchronization of the complex network. Furthermore, a novel condition is proposed under which the complex network is globally pinning synchronized with a given H
_∞
performance index. It is shown that the H
_∞
performance index γ has a positive correlation with the upper bound of the sampling intervals. Finally, the validity and the advantage of the theoretic results obtained are verified by means of the applications in Chua's circuit and pendulum.