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What is a Lyapunov function

We introduce the concept of a Lyapunov function

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The Lyapunov stability theorem
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The Lyapunov stability theorem

A Visual Explanation of Lyapunov Functions
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A Visual Explanation of Lyapunov Functions

Reverse Engineering Quadratic Lie Algebras
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Reverse Engineering Quadratic Lie Algebras

What is a Hilbert Space?
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What is a Hilbert Space?

Researchers thought this was a bug (Borwein integrals)
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Researchers thought this was a bug (Borwein integrals)

A Visual Explanation of Lyapunov Stability
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A Visual Explanation of Lyapunov Stability

An example using the Lyapunov stability theorem
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An example using the Lyapunov stability theorem

LaSalle's invariant set theorem
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LaSalle's invariant set theorem

An example using LaSalle
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An example using LaSalle

Stability of linearisations using Lyapunov functions
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Stability of linearisations using Lyapunov functions

the famous goat problem
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the famous goat problem

A Philosophical Look at System Dynamics
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A Philosophical Look at System Dynamics

Why is there no equation for the perimeter of an ellipse‽
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Why is there no equation for the perimeter of an ellipse‽

Class 26: Lyapunov Stability
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Class 26: Lyapunov Stability

From Child Prodigy to Winning Fields Medal, Nobel of Math
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From Child Prodigy to Winning Fields Medal, Nobel of Math

Understanding Lagrange Multipliers Visually
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Understanding Lagrange Multipliers Visually

Lyapunov Functions
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Lyapunov Functions

How (and why) to raise e to the power of a matrix | DE6
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How (and why) to raise e to the power of a matrix | DE6

Russell's Paradox - a simple explanation of a profound problem
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Russell's Paradox - a simple explanation of a profound problem

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