Linear Systems Control: Fundamentals and Applications

This lecture covers the fundamentals of linear systems control, focusing on the solutions of linear systems, vector spaces, invertibility, and control. It also delves into the concept of controllability, the use of controls to reach desired values, and the importance of choosing optimal controls. The instructor explains how to ensure the controllability of a system, the behavior of solutions under different initial conditions, and the role of continuous coefficients in control. Through examples and theoretical explanations, students will gain a deep understanding of linear systems control and its practical applications.