Stabilization of Coupled Schr(o)dinger and Heat Equations with Boundary Coupling

摘要：

We study stability of a Schr(o)dinger equation with a collocated boundary feedback compensator in the form of a heat equation with a collocated input/output pair. We show that the spectrum of the closed-loop system consists only of two branches along two parabolas which are asymptotically symmetric relative to the line Reλ=.Imλ (the 135o line in the second quadrant). The asymptotic expressions of both eigenvalues and eigenfunctions are obtained. The Riesz basis property and exponential stability of the system are then proved. Finally we show that the semigroup, generated by the system operator, is of Gevrey class δ>2. A numerical computation is presented for the distributions of the spectrum of the closed-loop system.

作者: WANG Jun-Min REN Beibei KRSTIC Miroslav

作者单位: Department of Mathematics,Beijing Institute of Technology,Beijing 100081,P.R.China Department of Mechanical and Aerospace Engineering,University of California at San Diego,La Jolla,CA Department of Mechanical and Aerospace Engineering,University of California at San Diego,La Jolla,C

会议类型: 国际会议

会议名称: The 30th Chinese Control Conference(第三十届中国控制会议)

会议地点: 烟台

会议语种:英文

页码: 1-6

在线出版日期: 2011-07-01（万方平台首次上网日期，不代表论文的发表时间）