The Koopman Operator in Systems and Control

Part I: Control Design, Observation, and Identification.- Linear Observer Synthesis for Nonlinear Systems.- Linear Predictors for Nonlinear Dynamical Systems.- Global Stability Analysis.- Pulse-based Optimal Control.- Parameter Estimation and Identification of Nonlinear Systems.- Koopman Spectrum and Stability of Cascaded Dynamical Systems.- Open and Closed Loop Control of PDEs via Switched Systems and Koopman operator based reduced order models.- Part II: Data-Driven Analysis.- Data-driven Approximations of Dynamical Systems Operators for Control.- Operator Theoretic-based Data-driven Approach for Optimal Stabilization of Nonlinear System.- Manifold Learning for Data-Driven Dynamical Systems Analysis.- Use of Data-Driven Koopman Spectrum Computation and Delay Embedding.- Part III: Applications.- Modeling of Advective Heat Transfer in a Practical Building Atrium via Koopman Mode Decomposition.- Phase-amplitude Reduction of Limit-cycling Systems.- Exploiting Effectsof Network Topology on Performance in Nonlinear Consensus Networks.- Koopman Operators in Embedded Control.

Alexandre Mauroy received the M.S. degree in Aerospace Engineering and the Ph.D. degree in Applied Mathematics from the University of Liège, Liège, Belgium, in 2007 and 2011, respectively. He was a BAEF Research Fellow at the University of California, Santa Barbara, CA, USA, from 2011 to 2013, a postdoctoral researcher at the University of Liège from 2013 to 2015, and a research associate at the University of Luxembourg, Luxembourg, in 2016. He is currently Assistant Professor at the Department of Mathematics at the University of Namur, Belgium and member of the Namur Center for Complex Systems (naXys). His research interests include synchronization in complex networks, network identification, and applications of operator theoretic methods to dynamical systems and control.
 Igor Mezic works in the field of dynamical systems and control theory and applications to energy efficient design and operations and complex systems dynamics. He did his Dipl. Ing. in Mechanical Engineering in 1990 at the University of Rijeka, Croatia and his Ph. D. in Applied Mechanics at the California Institute of Technology. He was a postdoctoral researcher at the Mathematics Institute, University of Warwick, UK in 1994-95. From 1995 to 1999 he was a member of Mechanical Engineering Department at the University of California, Santa Barbara where he is currently a Professor. In 2000-2001 he has worked as an Associate Professor at Harvard University in the Division of Engineering and Applied Sciences. Dr. Mezic won the Alfred P. Sloan Fellowship, NSF CAREER Award from the NSF and the George S. Axelby Outstanding Paper Award on "Control of Mixing" from IEEE. He also won the United Technologies Senior Vice President for Science and Technology Special Achievement Prize in 2007. He is a Fellow of the American Physical Society and a Fellow of the Society for Industrial and Applied Mathematics. He was an Editor of Physica D: Nonlinear Phenomena and an Associate Editor of the