报告题目：A Small-Gain Theory for Stability and Control of Dynamical Networks
报告摘要：In this talk, I will provide a historical survey of the small-gain theory for stability and control of general interconnected and nonlinear systems. Recent developments in cyclic-small-gain theorems will be reviewed and applied to answer the first fundamental question: when is a dynamical network comprised of more than two subsystems stable? Constructive methods for the generation of Lyapunov functions for the total network on the basis of Lyapunov functions for the subsystems will be presented. Tools such as gain assignment techniques will be discussed to address the second fundamental question: When can a dynamical network be made stable by feedback? Throughout the talk, applications of the nonlinear/network small-gain theory will be shown by means of classical problems in nonlinear control design and modern problems arising from quantized and event-based control of nonlinear systems. Finally, if time permits, I will present our current work in integrating small-gain theory and adaptive dynamic programming for a new class of data-driven, learning-based adaptive optimal controllers.
Zhong-Ping JIANG received the B.Sc. degree in mathematics from the University of Wuhan, Wuhan, China, in 1988, 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 the Ecole des Mines de Paris (now, called ParisTech-Mines), France, in 1993, under the direction of Prof. Laurent Praly.
Currently, he is a Professor of Electrical and Computer Engineering at the Tandon School of Engineering, New York University. His main research interests include stability theory, robust/adaptive/distributed nonlinear control, adaptive dynamic programming and their applications to information, mechanical and biological systems. He is coauthor of four booksStability and Stabilization of Nonlinear Systems(with Dr. I. Karafyllis, Springer, 2011),Nonlinear Control of Dynamic Networks(with Drs. T. Liu and D.J. Hill, Taylor & Francis, 2014),Robust Adaptive Dynamic Programming(with Y. Jiang, Wiley-IEEE Press, 2017) andNonlinear Control Under Information Constraints(with T. Liu, Science Press, 2018). He also is the (co)author of 15 book chapters, over 200 published/accepted journal papers, and numerous conference papers. His work has received 18,900 citations with an h-index of 70, by Google Scholar.
Dr. Jiang is a Deputy co-Editor-in-Chief of theJournal of Control and Decision, a Senior Editor for theIEEE Control Systems Letters, an Editor for theInternational Journal of Robust and Nonlinear Controland has served as an Associate Editor for several journals includingMathematics of Control, Signals and Systems (MCSS),Systems & Control Letters,IEEE Transactions on Automatic Control, European Journal of Control,andScience China: Information Sciences. Dr. Jiang is a recipient of the prestigious Queen Elizabeth II Fellowship Award from the Australian Research Council (1998), the CAREER Award from the U.S. National Science Foundation (2001),JSPS Invitation Fellowship from the Japan Society for the Promotion of Science (2005),the Distinguished Overseas Chinese Scholar Award from the NSF of China (2007), and the Chair Professorship by the Ministry of Education of China (2009). His recent awards include theSteve and Rosalind Hsia Best Biomedical Paper Award at the 2016 World Congress on Intelligent Control and Automation in Guilin, China, and the Best Paper Award at the 2017 Asian Control Conference, Gold Coast, Australia.
Prof. Jiang is a Fellow of the IEEE and a Fellow of the IFAC.