Sampled-data-based stability and stabilization of Lurie systems

This paper discusses the sampled-data control problem of Lurie systems. First, a sufficient condition is presented to ensure system stability with a predefined controller gain. This condition is then extended to design a state-feedback controller (SFC) that stabilizes the systems. Additionally, the paper introduces a cone complementary linearization iteration (CCLI) algorithm with an enhanced iteration condition to obtain the controller gain. Numerical examples demonstrate that the proposed method surpasses existing methods in the literature.