Control Systems Courses

Steve Brunton

Data-Driven Control - Linear System Identification

Explore linear system identification and model reduction techniques to create optimal reduced-order models from data for input-output dynamics analysis.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Steve Brunton

Control Bootcamp - Cruise Control Example with Proportional-Integral Control

Explore proportional-integral control in cruise control systems, reducing steady-state errors using a sophisticated automobile model. Gain practical insights into advanced control techniques.

• YouTube
• 23 minutes
• On-Demand
• Free Video

Steve Brunton

Controllability - Control Bootcamp

Explore linear system controllability through intuitive examples and the controllability matrix rank test. Learn key concepts for understanding and analyzing system control.

• YouTube
• 33 minutes
• On-Demand
• Free Video

Steve Brunton

Linearizing Around a Fixed Point - Control Bootcamp

Explore linearization of nonlinear systems around fixed points, demonstrated with a simple pendulum example using both manual calculations and MATLAB implementation.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Steve Brunton

Degenerate Systems of Equations and Non-Normal Energy Growth

Explore degenerate equation systems and non-normal energy growth in engineering mathematics, focusing on key concepts and practical applications in dynamic systems analysis.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Steve Brunton

2x2 Systems of ODEs - With Eigenvalues and Eigenvectors, Phase Portraits

Explore 2x2 systems of ODEs, eigenvalues, eigenvectors, and phase portraits in engineering mathematics. Learn to analyze and visualize complex dynamical systems.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Steve Brunton

Linearization of Nonlinear ODEs, 2x2 Systems, Phase Portraits

Explore linearization techniques for nonlinear ODEs, analyze 2x2 systems, and visualize phase portraits in this advanced engineering mathematics lecture.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Steve Brunton

Eigenvalues, Eigenvectors, and Dynamical Systems

Explore eigenvalues, eigenvectors, and dynamical systems in engineering mathematics, focusing on their applications and significance in solving complex problems.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Steve Brunton

Higher-Order ODEs, Characteristic Equation, Matrix Systems of First Order ODEs

Explore higher-order linear ODEs, characteristic equations, and matrix systems of first-order equations in engineering mathematics, with accompanying notes and MATLAB code.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Fields Institute

Efficient Approximation of Infinite-Dimensional Dynamical Systems in Finance

Explore advanced techniques for approximating complex dynamical systems in finance, focusing on efficient methods for infinite-dimensional problems and their applications.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Video

Fields Institute

Prospects for AI Systems That Can Form Concepts and Abstractions

Explore the potential for AI to develop conceptual thinking and abstraction capabilities, examining current limitations and future possibilities in this cutting-edge field of research.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Fields Institute

Machine Learning and Dynamical Systems Meet in Reproducing Kernel Hilbert Spaces

Explore the intersection of machine learning and dynamical systems in Reproducing Kernel Hilbert Spaces, offering insights into advanced mathematical concepts and their applications.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Fields Institute

Learning Dynamical Systems

Explore cutting-edge research on integrating machine learning with dynamical systems, presented by expert Sayan Mukherjee from University of Leipzig and MPI MiS.

• YouTube
• 36 minutes
• On-Demand
• Free Video

Fields Institute

Deep Learning for Nonlinear Stability Analysis in Dynamical Systems

Explore deep learning techniques for analyzing nonlinear stability in dynamical systems, presented by Bogdan Epureanu from the University of Michigan.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Fields Institute

Dissipative Deep Neural Dynamical Systems

Explore dissipative deep neural dynamical systems and their applications in machine learning, presented by Jan Drgona from Pacific Northwest National Laboratory.

• YouTube
• 24 minutes
• On-Demand
• Free Video