Network Small-Gain Theorem: A Tool for Network Stability and Control

February 19, 2016, Webb 1100

Zhong-Ping Jiang

New York University, ECE


Small-gain theorem plays a key role in robust controller design and robustness analysis for interconnected systems. In this talk, I will first present some recent developments in network small-gain theorem for complex large-scale nonlinear systems. Various versions of cyclic-small-gain theorems based on input-to-output stability, input-to-state stability and Lyapunov functions will be discussed. Then, applications to quantized feedback stabilization and event-triggered control of nonlinear systems will be given to illustrate the effectiveness of the network small-gain methodology.

Speaker's Bio

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, France, in 1993.
Dr. Jiang has been a Professor of Electrical and Computer Engineering at 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 the books Stability and Stabilization of Nonlinear Systems (with Dr. I. Karafyllis, Springer, 2011) and Nonlinear Control of Dynamic Networks (with Drs. T. Liu and D.J. Hill, Taylor & Francis, 2014).
Dr. Jiang is a Deputy co-Editor-in-Chief of the Journal of Control and Decision, an Editor for the International Journal of Robust and Nonlinear Control and has served as an Associate Editor for several journals including Mathematics of Control, Signals and Systems (MCSS), Systems & Control Letters, IEEE Transactions on Automatic Control, European Journal of Control, and Science China: Information Sciences. Dr. Jiang is a recipient of the prestigious Queen Elizabeth II Fellowship Award from the Australian Research Council, the CAREER Award from the U.S. National Science Foundation, and the Distinguished Overseas Chinese Scholar Award from the NSF of China. Recent awards recognizing his research work include the Best Theory Paper Award (with Y. Wang) at the 2008 WCICA, and the Guan Zhao Zhi Best Paper Award (with T. Liu and D. Hill) at the 2011 CCC, and the Shimemura Young Author Prize (with his student Yu Jiang) at the 2013 Asian Control Conference in Istanbul, Turkey.
Prof. Jiang is a Fellow of the IEEE and a Fellow of the IFAC.