Some recent results on finite-dimensional feedback control via inertial manifolds

Thời gian: 14:00 đến 16:00 Ngày 07/03/2025

Địa điểm: Phòng C101, VIASM

Báo cáo viên: Dr. Bùi Xuân Quang, PHENIKAA University

Tóm tắt: The aim of this talk is to present recent results on finite-dimensional feedback control using inertial manifold theory. First, we will briefly introduce a general framework for studying the feedback control problem via inertial manifolds. Then, we will focus on recent findings on finite-dimensional feedback control of certain classes of parabolic equations, including reaction-diffusion-advection systems and reaction-diffusion systems under periodic external forces. Finally, we will address some questions and offer perspectives on this topic. This talk is based on joint works with Thieu Huy Nguyen, Do Duc Thuan (HUST, Vietnam), and Jihoon Lee (CNU, Korea)