Applications of the weak observability inequality

主讲人：汪更生

摘要：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.

主讲人简介：汪更生，天津大学应用数学中心教授. 主要从事分布参数系统控制理论的研究，出版《Time Optimal Control of Evolution Equations》、《Periodic Feedback Stabilization for Linear Periodic Evolution Equations》学术专著两部. 现任国际控制论权威刊物《SIAM J. Control Optim.》以及控制论知名期刊《ESAIM Control Optim. Calc. Var.》和《Mathematical Control and Related Fields》的编委.

邀请人：黄山林

时间：2023年6月6日（星期二）10:00-11:00