學習宣傳貫徹黨的二十大精神專題 “十四五”規劃專題 保定校區 English

Applications of the weak observability inequality

來源:發布時間:2023-06-06

【讲座题目】Applications of the weak observability inequality

【时  间】2023年6月8日    下午:15:00-16:00

【地  点】保定校區 自动化系 线上腾讯会议:411-355-079

【主 讲 人】汪更生,教授、天津大学

【主講人簡介】

汪更生,天津大学应用数学中心教授,一直从事微分系统控制理论的研究。现任 SIAM Journal on Control and Optimization; ESAIM Control,  Optimization and Calculus of Variation; Mathematical Control and Related Fields 等国际刊物的编委。在偏微分方程的能控能观性、能稳性和时间最优控制方向做出了重要贡献,其中包括热方程的插值不等式、薛定谔方程的时间两点型能观性不等式、时间最优控制的 bang-bang 性和周期发展系统的反馈能稳性等。在 Springer 与Birkhauser 出版两本学术专著,发表论文90 余篇。

【報告內容簡介】

We briefly introduce the weak observability inequality. We then show several applications of this inequality: First, we obtain the equivalence between the solvability of the LQ problem and the stabilizability when the control operator is unbounded but admissible. This improves the usual definition of the stabilizability (for unbounded cases). Second, we design a kind of feedback laws via Gramian operator method. Third, we clarify the relationship between several types of feedbcak stabiliztions.

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