Linearizing Around a Fixed Point - Control Bootcamp

Learn how to linearize a nonlinear system around a fixed point to obtain a linear system of equations in this 31-minute lecture. Explore the process step-by-step using the simple pendulum as an example, with demonstrations both through manual calculations and Matlab implementation. Gain insights into this fundamental control theory technique, which is crucial for analyzing and controlling complex nonlinear systems. The lecture is part of the Control Bootcamp series and follows Chapter 8 of "Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" by Brunton and Kutz.