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Routh Array and Stability

Vincent Stevenson
7 min
Beginner
Video
Theory

I show how we can find the range of allowed controller gains for a system that will allow us to maintain stability using a Routh Array.

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FIR Filter Design and Software Implementation

Philip Salmony
30 min
Intermediate
Video
Application

FIR (Finite Impulse Response) filter theory, design, and software implementation. Real-time software implementation on a custom STM32-based PCB. Overview of digital filtering, use-cases...

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Introduction to System Stability and Control

Brian Douglas
11 min
Beginner
Video
Theory

This video attempts to provide an intuitive understanding of concepts like stability and stability margin. I briefly describe both of these topics with examples and explain how you can...

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Koopman Spectral Analysis (Overview)

Steve Brunton
27 min
Intermediate
Video
Theory

In this video, we introduce Koopman operator theory for dynamical systems. The Koopman operator was introduced in 1931, but has experienced renewed interest recently because of the...

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The Inverse Laplace Transform

Christopher Lum
48 min
Beginner
Video
Theory

In this video we show how to perform the inverse Laplace transform on a signal in the Laplace domain to obtain its equivalent representation in the time doma...

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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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Machine Learning Goals

Steve Brunton
7 min
Beginner
Video
Theory

This lecture discusses the high-level goals of machine learning, and what we want out of our models. Goals include speed and accuracy, along with interpretability, generalizability...

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Fourier Series: Part 2

Steve Brunton
6 min
Beginner
Video
Theory

This video will show how to approximate a function with a Fourier series, which is an infinite sum of sines and cosines. We will discuss how these sines and cosines form a basis for the...

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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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