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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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Solving the 1D Wave Equation

Christopher Lum
118 min
Beginner
Video
Theory

In this video, we solve the 1D wave equation. We utilize the separation of variables method to solve this 2nd order, linear, homogeneous, partial differenti...

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Second Order Dynamics Example

Vincent Stevenson
4 min
Beginner
Video
Theory

How will a second order process respond in the time domain when subjected to a unit step input? What other behaviors can we expect to see and why? Tune in to...

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Fourier Analysis: Overview

Steve Brunton
7 min
Beginner
Video
Theory

This video presents an overview of the Fourier Transform, which is one of the most important transformations in all of mathematical physics and engineering. This series will introduce the...

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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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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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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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