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Routh-Hurwitz Criterion, Beyond Stability

Brian Douglas
11 min
Beginner
Video
Theory

This video explains of few uses of the Routh-Hurwitz Criterion that go beyond simply determining how many poles exist in the right half plane. I cover how to determine gain margin and how...

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SVD and Alignment: A Cautionary Tale

Steve Brunton
7 min
Intermediate
Video
Theory

This video describes the importance of data alignment when performing the singular value decomposition (SVD). Translations and rotations both present challenges for the SVD.

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Solving the 2D Wave Equation

Christopher Lum
73 min
Beginner
Video
Theory

In this video, we solve the 2D wave equation. We utilize two successive separation of variables to solve this partial differential equation. Topics discuss...

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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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Control Systems Lectures - LTI Systems

Brian Douglas
7 min
Beginner
Video
Theory

This lecture describes what it means when we say a system is linear and time invariant. I also try to give an example as to why these systems are so important when designing control systems...

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Controllability [Control Bootcamp]

Steve Brunton
32 min
Beginner
Video
Theory

This lecture explores when a linear system is controllable. We begin with the simple test in terms of the rank of the controllability matrix on a few intuitive examples.

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Machine Learning Overview

Steve Brunton
7 min
Beginner
Video
Theory

This lecture provides an overview of machine learning, and how it fits into this introductory video sequence on data science. We discuss how machine learning involves "modeling with data".

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Intro to Process Control

Vincent Stevenson
6 min
Beginner
Video
Theory

I discuss the motivation and introduce the logic behind controllers that engineers design to respond to errors in outputs (deviations from set points). P and...

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Neural Networks and Deep Learning

Steve Brunton
7 min
Beginner
Video
Theory

This lecture explores the recent explosion of interest in neural networks and deep learning in the context of 1) vast and increasing data sets, and 2) rapidly improving computational...

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Digital Twins

Steve Brunton
8 min
Beginner
Video
Theory

This lecture discusses the use of data-driven digital twins in advanced model-based design and engineering, and the related digital thread, which ties together the data throughout an entire...

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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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