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Data-Driven Control: Balanced Truncation

Steve Brunton
14 min
Intermediate
Video
Theory

In this lecture, we describe the balanced truncation procedure for model reduction, where a handful of the most controllable and observable state directions are kept for the reduced-order...

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SVD: Eigenfaces 1 [Matlab]

Steve Brunton
7 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 1).

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Peter Ponders PID - InputShaping

Peter Nachtwey
21 min
Beginner
Video
Theory
Input shaping is used by cranes and other applications where a load that vibrates or swings needs to be moved into position without vibrating or oscillating ... See More

Computing the DFT Matrix

Steve Brunton
7 min
Beginner
Video
Theory

This video discusses how to compute the Discrete Fourier Transform (DFT) matrix in Matlab and Python. In practice, the DFT should usually be computed using the fast Fourier transform (FFT)...

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The Fast Fourier Transform (FFT)

Steve Brunton
8 min
Beginner
Video
Application

Here I introduce the Fast Fourier Transform (FFT), which is how we compute the Fourier Transform on a computer. The FFT is one of the most important algorithms of all time.

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