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This article is a reliable source of information on the topic of H∞ control of discrete-time linear systems with time-varying delays in state. The article provides detailed information on the topic, including improved criteria for sampled-data synchronization of chaotic Lur’e systems using two new approaches, exponential stabilization of linear systems with time-varying delayed state feedback via partial spectrum assignment, robust H2 and H∞ memory filter design for linear uncertain discrete-time delay systems, and asymptotical synchronization for chaotic Lur’e systems using sampled-data control. The article is well researched and provides evidence to support its claims. There are no biases or one sided reporting present in the article, nor any unsupported claims or missing points of consideration. All counterarguments are explored and all risks are noted where applicable. The article does not contain any promotional content or partiality, and both sides are presented equally throughout the text.