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The Fourier Transform

Steve Brunton
14 min
Beginner
Video
Theory

This video will discuss the Fourier Transform, which is one of the most important coordinate transformations in all of science and engineering.

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The Root Locus Method - Introduction

Brian Douglas
13 min
Beginner
Video
Theory

This Root Locus method is a fantastic way of visualizing how the poles of a system move through the S-plane when a single system parameter is varied from 0 to infinity. I show how to...

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Derivation of Rodrigues’ Rotation Formula

Christopher Lum
43 min
Intermediate
Video
Theory

In this video we explain and derive Rodrigues’ Rotation Formula. This functions describes how to rotate an arbitrary vector about another arbitrary axis of rotation. This has applications to...

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Data-Driven Control: Balancing Transformation

Steve Brunton
11 min
Intermediate
Video
Theory

In this lecture, we derive the balancing coordinate transformation that makes the controllability and observability Gramians equal and diagonal. This is the critical step in balanced model...

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