走向现代数学学术报告 - 周中成教授（No. 849)

报告题目：Null controllability for a heat equation with time-space varying coefficient via backstepping method

报告时间：2025年11月4日 14:00

腾讯会议ID：353 698 792

报 告 人：周中成 教授（西南大学）

邀 请 人：段月亮 博士

报告摘要：This paper addresses the null controllability problem of a heat equation with time-space varying coefficients by utilizing the backstepping method to design an explicit controller. The time-space varying coefficient leads to the kernel equation with a non-normal style and irregular boundary conditions. To tackle this challenge, the operator decomposition technique is employed to theoretically guarantee the existence of classical solution for the kernel equation. Additionally, by constructing an auxiliary time-varying system with desirable properties and a well-behaved kernel function, we derive the optimal estimate for the kernel function, which are governed by a function of decay rate. Based on the optimal estimate, an explicit state feedback controller is synthesized to achieve null controllability for the original system.

报告人简介：周中成，西南大学教授，博士生导师，2004东北师范大学硕士毕业，2009年中国科学院数学与系统科学研究院博士毕业。曾是澳大利亚科廷大学访问学者。研究领域为优化与控制，主要研究分布参数系统的能控性、能稳性及最优化。先后主持国家自然科学基金项目3项，在IEEE TAC、Automatica等SCI杂志发表论文30余篇。现为中国仿真学会不确定性系统分析与仿真专委会委员，重庆市运筹学年会理事。