“…Many researchers have worked on this problem since the years 1950s and 1960s, among whom can be cited as Aizerman (1947), with the well known Aizerman conjecture, and Krasovskii (1953), Popov (1961), and Kalman (1963). In a way, research on the Lurie’s problem took a bigger leap in the 1980s, when works began to appear that linked the problem to other areas and approaches such as neural networks (Liao and Yu, 2008; Pinheiro and Colón, 2019); complex network (Li et al, 2012); chaos and chaos synchronization (Kazemy and Farrokhi, 2017); convex approach to the Lurie problem (Gapski and Geromel, 1994); linear parameter varying (LPV) system (Yu and Liao, 2019); uncertain systems (Tan and Atherton, 2003); Integral Quadratic Constraints (IQC) and Zames-Falb multipliers (Carrasco et al, 2016); μ analysis (Abtahi and Yazdi, 2019; Lee and Juang, 2005); and more recently the application of Lurie’s problem in modern control systems such as Hopfield neural network controls (Pinheiro and Colón, 2021), modeling Alzheimer’s disease (Pinheiro and Colón, 2020), tracking differential extended state observer (Wang et al, 2020) and in control rates of the extended state observer (ESO) for speed control system for the pitching axis of a remote sensing camera (Liu, 2020). In addition to all these new lines of application and study of the Luries problem, its study remains current in the aeronautical field, as can be seen in Imani and Montazeri-Gh (2019).…”