报告题目：Dynamic systems: Carleman meets Fourier

报 告 人：Prof. Qiyu Sun（University of Central Florida）

报告时间：2024年12月16日14:30-15:30

报告地点：格物楼数学研究中心528报告厅

报告摘要：Taylor expansion and Fourier expansion have been widely used to represent functions.  The question to be discussed in this talk is whether there is some analog for nonlinear dynamic systems.  In particular, we consider Carlemen linearization and Carleman-Fourier linearization of nonlinear dynamic systems and show that the primary block of the finite-section approach has exponential convergence to the solution of the original dynamic system.

报告人简介：Qiyu Sun received the Ph.D. degree in mathematics from Hangzhou University, Hangzhou, China, in 1990. He is currently a Professor of mathematics with the University of Central Florida, Orlando, FL, USA.  His research interests include applied and computational harmonic analysis, optimal control theory, mathematical signal processing and sampling theory. Together with Nader Motee, he received the 2019 SIAG/CST Best SICON Paper Prize for making a fundamental contribution to spatially distributed systems theory.  He is on the editorial board of several journals, including Journal of Fourier Analysis and Applications, Frontiers in Signal Processing and Sampling Theory, Signal Processing, and Data Analysis.