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What is Lyapunov Stability in Nonlinear Systems about?

This document discusses Lyapunov stability analysis for nonlinear continuous-time systems. It introduces Lyapunov stability and shows how to use a Lyapunov function to prove stability of an equilibrium point. The example of a damped pendulum is used, showing how the total mechanical energy and an alternative quadratic form can both be used as Lyapunov functions to prove the origin is asymptotically stable. Constructing Lyapunov functions is discussed.

Author

Jordy Canales

Language

EN