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【学术报告】2021年5月21日汪更生教授举办学术讲座

时间:2021-05-19

报告人:汪更生(天津大学应用数学中心)

邀请人:郑权

报告时间:2021年5月21日(星期五)8:30-10:30

报告地点:科技楼南楼602室

报告题目:Characterizations on complete stabilizability

报告摘要:We build up some necessary and sufficient conditions, via a family of weak observability inequalities, on the complete stabilizability for some linear time-invariant evolution equations with bounded control operators. From these conditions, we can directly see the differences among the null controllability, the stabilizability and the complete stabilizability, from perspective of the observability inequality. We then extend our studies in two directions:  the case where control operators are unbounded and the case when the systems are time-periodic.  We also provide some spectral projection conditions to ensure the aforementioned weak observability inequalities. We finally give several examples where the systems are not null controllable, and can be verified to satisfy the weak observability inequalities. (Hence, they are completely stabilizable. )

报告人简介: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.

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