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Lyapunov Stability Analysis
This lecture covers the concept of Lyapunov stability analysis, focusing on the equivalence and definition of stability, as well as the determination of stability within the Lyapunov framework. The instructor demonstrates how to calculate Lyapunov functions and analyze local stability. Through examples and calculations, the lecture illustrates the process of proving stability using Lyapunov's method, emphasizing the importance of Lyapunov functions in guaranteeing stability. The lecture concludes with a discussion on the conditions for stability and the implications of Lyapunov stability analysis in control systems.