Discover how optimization powers machine learning, aerospace design, and control theory in this foundational roadmap by Steve Brunton.
Opening lecture of 9-session syllabus
The Anatomy of an Optimization Problem
Professor of Mechanical Engineering & Adjunct Professor of Applied Mathematics, University of Washington
University of Washington Professor known for data-driven dynamical systems, SINDy, Koopman operator theory, and control engineering.
Convex optimization provides the mathematical tools for designing optimal controllers, estimating system states, and solving trajectory planning problems in control and dynamical systems, from robotics to fluid dynamics.
This bootcamp provides a practical yet rigorous introduction to convex optimization, covering core concepts like convex sets, functions, duality, and algorithms, which are fundamental to the subfield and its applications.
This lecture applies convex optimization principles to control problems in fluid dynamics, leveraging techniques like dynamic mode decomposition and reinforcement learning to optimize complex physical systems.