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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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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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Routh-Hurwitz Criterion, An Introduction

Brian Douglas
12 min
Beginner
Video
Theory

This video gives an introduction into the Routh-Hurwitz Criterion and the Routh Array. I also present a little background information in order to emphasize why the method was developed and...

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NASA's General Mission Analysis Tool (GMAT)

NASA Technology Transfer Program
Advanced
Software
Application

NASA's GMAT is the worlds only enterprise, multi-mission, open source software system for space mission design, optimization, and navigation. The system supports missions in flight regimes...

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Solving the 1D Heat Equation

Christopher Lum
47 min
Beginner
Video
Theory

In this video we simplify the general heat equation to look at only a single spatial variable, thereby obtaining the 1D heat equation. We solving the result...

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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 [Python]

Steve Brunton
5 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" (Python code, part 3).

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Least Squares Regression and the SVD

Steve Brunton
5 min
Beginner
Video
Theory

This video describes how the SVD can be used to solve linear systems of equations. In particular, it is possible to solve nonsquare systems (overdetermined or underdetermined) via least...

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