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The Fourier Transform and Derivatives

Steve Brunton
10 min
Beginner
Video
Theory

This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations.

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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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SVD: Eigenfaces 3 [Matlab]

Steve Brunton
10 min
Intermediate
Video
Application

This video describes how the singular value decomposition (SVD) can be used to efficiently represent human faces, in the so-called "eigenfaces" (Matlab code, part 3).

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Understanding PID Controller

Jay Mistry
13 min
Beginner
Article / Blog
Theory

This blog post begins by walking through the basics and the theoretical part of the PID controllers.  The controller is then tested, verified, and analyzed using MATLAB.

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