Equivalence Between Contraction and Koopman Approaches and Its Application in Nonlinear System Identification

Explore the connections between the Koopman operator framework and contraction analysis for nonlinear systems in this 54-minute GERAD Research Center seminar. Delve into the equivalence of these approaches for stability analysis and control design problems, based on a novel relation with the Kazantzis-Kravaris-Luenberger observer. Examine the extension of these findings to discrete-time systems and learn about a new data-driven method for learning stable models of nonlinear systems. Discover how this approach uses Koopman embeddings to lift the original state space to a higher-dimensional linear manifold, allowing for unconstrained optimization while enforcing model stability through direct parameterization of stable linear systems.

Equivalence Between Contraction and Koopman Approaches, and Its Application in Nonlinear System ...