This lecture covers the concept of discrete-time control systems and their implementation using digital controllers. It explains how sensors and computers perceive the world at fixed time intervals, and how control actions are updated in discrete-time. The lecture also discusses the perspective of the system and the controller in continuous and discrete-time domains, as well as the differences between continuous-time and discrete-time signals. Additionally, it delves into sampling techniques, the Nyquist Theorem for selecting sampling rates, and the importance of sampling frequency in capturing system dynamics.