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Derivation of the 2D Wave Equation

Christopher Lum
27 min
Beginner
Video
Theory

In this video we derive the 2D wave equation. This partial differential equation governs the motion of waves in a plane and is applicable for thin vibrating...

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Understanding The Sensitivity Function

Brian Douglas
13 min
Beginner
Video
Theory

In this video I explain the sensitivity function and try to demystify the equation used to solve for the nominal sensitivity peak. Sensitivity describes how much process variations affect...

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Drone Control and the Complementary Filter

Brian Douglas
11 min
Beginner
Video
Theory

Let's talk about the complementary filter and how we can use it to estimate the attitude of a drone using an IMU. It is such a dead simple filter, which is a good reason to learn it, but it...

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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 4 [Matlab]

Steve Brunton
6 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 4).

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Gimbal Lock in reference to the Apollo missions

The Vintage Space
4 min
Intermediate
Video
Theory

A gimbal is a pivoted support that permits rotation of an object about an axis. For this reason, a set of three axes gimbals are used in spacecrafts to help with orientation attitude control...

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Robust Principal Component Analysis (RPCA)

Steve Brunton
22 min
Intermediate
Video
Theory

Robust statistics is essential for handling data with corruption or missing entries. This robust variant of principal component analysis (PCA) is now a workhorse algorithm in several fields...

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