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State Space to Transfer Function

Christopher Lum
48 min
Beginner
Video
Theory

In this video we show how to transform a linear state space representation of a dynamic system to an equivalent transfer function representation. We will de...

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Manipulating Aerodynamic Coefficients

Christopher Lum
25 min
Intermediate
Video
Theory

In this video we discuss some potential problems you may encounter when attempting to perform operations with dimensionless aerodynamic coefficients such as CL and CD.

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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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Gain and Phase Margins Explained!

Brian Douglas
13 min
Beginner
Video
Theory

In this video I explain gain and phase margins. If you are confused by this topic I hope this video will help tie all of the concepts together that go into understanding what gain and phase...

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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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Stability and Eigenvalues [Control Bootcamp]

Steve Brunton
19 min
Beginner
Video
Theory

Here we discuss the stability of a linear system (in continuous-time or discrete-time) in terms of eigenvalues. Later, we will actively modify these eigenvalues, and hence the dynamics...

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