报告题目：Numerical Optimization for Feedback Stabilization ofLinearDelay Systems via Parseval's Theorem

报告人：胡广大 教授

报告时间：2022年1月8日（星期六）9:00-10:00

报告形式：线上（腾讯会议，会议号：879984188）

邀请人：白富生 教授

主办单位：重庆国家应用数学中心

报告内容摘要

Weinvestigate feedback stabilization of linear delay systems. When the unstablecharacteristic roots of the system are far from the imaginary axis, the discretizationof unstable differential equations results in a large error. In this case, itis difficult to seek stabilizing control laws via the algorithm in theliterature. In order to avoid the discretization of unstable differentialequations, a modified state equation is constructed through a shiftingparameter such that the equation is asymptotically stable. Then, based on themodified state equation and Parseval’s theorem, a numerical optimizationalgorithm is provided to design a stabilizing controller. Meanwhile, we comparethe presented algorithm with that in the literature. Finally, numericalexamples are given to illustrate the presented algorithm.

报告人简介

胡广大教授现任上海大学数学系教授，主持完成国家自然科学基金项目4项和教育部博士点基金项目1项。曾获得黑龙江省科技进步奖一等奖（自然科学类）(2006)。胡教授于哈尔滨工业大学获得学士和硕士学位，日本名古屋大学获得博士学位，曾在加拿大纽芬兰大学从事博士后研究。曾在英国曼彻斯特大学，加拿大约克大学,澳大利亚拉筹伯大学访问。在“BIT(NumericalMathematics)”,“IMA J. Numerical Analysis”,“Linear Algebra and itsApplication”,“IEEE Transactions on Automatic Control”和“IEEE Trans.SignalProcessing”等国际杂志上发表论文50多篇。现任国际SCI期刊“Journal ofComputational and Applied Mathematics”编委。