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Second Order Dynamics

Vincent Stevenson
3 min
Beginner
Video
Theory

A crash course overview on second order dynamics in the frequency domain, what the key parameters are, and why they matter.

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Sketching Root Locus Part 1

Brian Douglas
13 min
Beginner
Video
Theory

Sketching a root locus by hand can be done by following some simple rules. However, more important than actually being able to sketch to plot is being able to use our knowledge to design...

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Control Bootcamp: Full-State Estimation

Steve Brunton
11 min
Beginner
Video
Theory

This video describes full-state estimation. An estimator dynamical system is constructed, and it is shown that the estimate converges to the true state. Further, the eigenvalues of the...

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SVD Method of Snapshots

Steve Brunton
4 min
Beginner
Video
Theory

This video describes how to compute the singular value decomposition (SVD) using the method of snapshots, by Sirovich 1987.

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Solving the 2D Wave Equation

Christopher Lum
73 min
Beginner
Video
Theory

In this video, we solve the 2D wave equation. We utilize two successive separation of variables to solve this partial differential equation. Topics discuss...

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Unitary Transformations

Steve Brunton
12 min
Beginner
Video
Theory

This video discusses unitary matrix transformations and how they relate to the geometry of the singular value decomposition (SVD).

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Linear Systems [Control Bootcamp]

Steve Brunton
24 min
Beginner
Video
Theory

Linear systems of ordinary differential equations are analyzed using eigenvalues and eigenvectors. This will be the mathematical foundation of this bootcamp on linear control theory.

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