ECE Seminar - Stability and Control of Networks: From Lyapunov Theory to Small-Gain Theory
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Abstract
The world is nonlinear and interconnected. In contrast to Lyapunov theory, which has played a central role in the analysis and synthesis of nonlinear systems, small-gain theory adopts a reductionist perspective that has proved powerful for addressing fundamentally challenging control problems involving interconnected systems.
In this talk, I will first review the early development of nonlinear small-gain theorems and associated nonlinear control design, and show how small-gain theory provided a unifying framework for numerous results in constructive nonlinear control. I will then present recent developments in network and cyclic small-gain theorems for complex, large-scale nonlinear systems, with a particular focus on distributed control and optimization. Finally, I will briefly discuss how machine learning techniques can be leveraged to reduce the conservativeness of small-gain-based designs, highlighting an emerging direction in learning-based control and a promising new avenue in control theory.
Prof Zhong-Ping Jiang received the M.Sc. degree in statistics from the University of Paris XI, France, in 1989, and the Ph.D. degree in automatic control and mathematics from ParisTech-Mines, France, in 1993.
He is currently an Institute Professor in the Department of Electrical and Computer Engineering at the NYU Tandon School of Engineering. His research interests include stability theory, robust, adaptive, and distributed nonlinear control, robust adaptive dynamic programming, reinforcement learning, and their applications to information, mechanical, transportation, and biological systems.
Prof. Jiang currently serves on the Board of Governors of the IEEE Intelligent Transportation Systems Society and leads its Distinguished Lecturer Program. He has served as Deputy Editor-in-Chief, Senior Editor, and Associate Editor for numerous journals. He is a Clarivate Analytics Highly Cited Researcher and is recognized among Stanford University's Top 2% of the world's most highly cited scientists. In 2022, Prof. Jiang received the Excellence in Research Award from the NYU Tandon School of Engineering. He is a Foreign Member of the Academia Europaea (Academy of Europe) and the European Academy of Sciences and Arts, and a Fellow of IEEE, IFAC, CAA, AAIA, and AAAS.