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This lecture covers the concept of exact linearization, a method used to simplify the analysis of nonlinear systems by creating a linear system around a specific operating point. The instructor explains the process of linearizing systems, focusing on the advantages and limitations of this technique. Through a practical example involving a mixing tank, the lecture demonstrates how to transform a nonlinear system into a linear one by introducing a new control signal. The goal is to provide students with a foundational understanding of linearization methods and their applications in system analysis.