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Linear Algebra Review

J. Zico Kolter
Intermediate
Course
Theory

This short course is a quick review of linear algebra, intended for students who have already taken a previous course in linear algebra or have some experience with vectors and matrices. The...

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Modeling Physical Systems, An Overview

Brian Douglas
7 min
Beginner
Video
Theory

This video sets the stage for the topics that I want to cover over the next month or two. This is an overview of how you go from a physical system to a linear model where you can design a...

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Discrete Fourier Transform

MathWorks
Intermediate
Article / Blog
Theory

The discrete Fourier transform, or DFT, is the primary tool of digital signal processing. The foundation of the product is the fast Fourier transform (FFT), a method for computing the DFT...

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How Simulations Work

Tucker McClure
30 min
Beginner
Article / Blog
Theory

This article sets out the critical aspects of building good simulations — that is, simulations that are accurate, easy to develop and analyze, and fast. The first sections deal with how a...

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Data-Driven Dynamical Systems Overview

Steve Brunton
21 min
Intermediate
Video
Theory

This video provides a high-level overview of this new series on data-driven dynamical systems. In particular, we explore the various challenges in modern dynamical systems, along with...

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MATLAB toolbox for control 101 course

Anthony Rossiter
Beginner
Software
Theory

Community toolbox project led by Anthony Rossiter and sponsored by MathWorks. The project incorporates input from various international collaborators. The aim is to make the developed...

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Process Dynamics and Control Course

Dr. John Hedengren
Beginner
Course
Theory

This course focuses on a complete start to finish process of physics-based modeling, data driven methods, and controller design. Although some knowledge of computer programming is required...

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Koopman Spectral Analysis (Control)

Steve Brunton
15 min
Intermediate
Video
Theory

In this video, we explore extensions of Koopman theory for control systems. Much of the excitement and promise of Koopman operator theory is centered around the ability to represent...

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Nyquist Stability Criterion, Part 2

Brian Douglas
18 min
Beginner
Video
Theory

An explanation of the Nyquist Stability Criterion part 2. This video steps through the how to sketch a Nyquist plot by hand, what to do if there are open loop pools on the imaginary axis...

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How Kalman Filters Work, Part 1

Tucker McClure
30 min
Beginner
Article / Blog
Theory

This article looks at four popular estimation filter architectures: particle filter, sigma point filter, extended Kalman filter, and the Kalman filter. It discusses how all four of these...

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