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Spring 2026 GRASP on Robotics: Francesco Bullo, University of California, Santa Barbara, “Contracting Dynamics for Optimization, Control and Learning”
April 17 @ 10:30 am - 11:45 am
This event was in-person ONLY in Wu and Chen Auditorium.
ABSTRACT
This talk surveys recent advances on contraction theory for dynamical systems, as a robust, computationally-friendly and modular stability theory. Starting from basic notions, I will present novel theoretical properties and examples of contracting dynamics, including gradient systems, controlled Lure’ systems, constrained optimization solvers, and multiplayer games. As first application I will discuss online feedback optimization, where a dynamic plant is interconnected with a controller based on first-order optimization methods. Second, I will discuss the contractivity properties of recurrent neural networks and briefly review applications to unsupervised representation learning, implicit learning models, and reservoir computing.