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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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Bandwidth of a Dynamic System

Christopher Lum
30 min
Beginner
Video
Theory

In this video we discuss the definition and physical meaning of the bandwidth of a dynamic system. We’ll see that this is a performance metric that is used ...

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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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MATLAB Sensor Array Analyzer App

Mathworks
Intermediate
App
Application

The Sensor Array Analyzer app enables you to construct and analyze common sensor array configurations. These configurations range from 1-D to 3-D arrays of antennas, sonar transducers, and...

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Numerically Linearizing a Dynamic System

Christopher Lum
104 min
Intermediate
Video
Theory

In this video we show how to linearize a dynamic system using numerical techniques. In other words, the linearization process does not require an analytical description of the system. This...

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FreeFlyer Aerodynamic Simulation Software

A.I. Solutions
Advanced
Software
Application

FreeFlyer® is an aerodynamic simulation software for space mission design, analysis and operations. It is a commercial software used in actual missions. Free for students, paid for startups...

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Particle Filter Explained without Equations

Andreas Svensson
7 min
Beginner
Video
Theory

This video provides a quick graphical introduction to the particle filter. It does a good job building some intuition behind the filter without ever touching on any mathematics. It's worth a...

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PID Control - A brief introduction

Brian Douglas
7 min
Beginner
Video
Theory

In this video, I introduce the topic of PID control. This is a short introduction design to prepare you for the next few lectures where I will go through several examples of PID control....

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Second Order Dynamics

Vincent Stevenson
3 min
Beginner
Video
Theory

A crash course overview on second order dynamics in the frequency domain, what the key parameters are, and why they matter.

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