Speaker: Qiyu Sun (UCF, Dept of Mathematics)
Title: Dynamic systems: Carleman meets Fourier
Abstract: 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.
Place: https://ucf.zoom.us/j/94399944324
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