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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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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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Derivation of the Heat Equation

Christopher Lum
31 min
Beginner
Video
Theory

In this video, we derive the heat equation. This partial differential equation (PDE) applies to scenarios such as the transfer of heat in a uniform, homogen...

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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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Euler (Gimbal Lock) Explained

GuerrillaCG
8 min
Beginner
Video
Theory

In this video we explore Euler Rotations, the most common method for orienting objects in 3d. It's by-product "gimbal lock" can cause headaches for animators because the animated motion can...

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Types of Machine Learning 1

Steve Brunton
6 min
Beginner
Video
Theory

This lecture gives an overview of the main categories of machine learning, including supervised, un-supervised, and semi-supervised techniques, depending on the availability of expert labels...

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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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