Riesz Basis Generation of a Hybrid System with Boundary Feedback Control
In this paper, an Euler-Bernoulli equation with one end fixed and a tip mass at another end is considered. By using Guos conclusion that the Riesz basis property holds for the general system if its associated characteristic equation is strongly regular, it is shown that the Riesz basis property can be established for the closed-loop system under boundary linear feedback control. In the meanwhile, we get the conclusions that the system operator A generates a Co-semigroup e~(At) on state space and the spectrum-determined growth condition holds : s(A) = ω(A).
distributed system boundary feedback control riesz basis spectrum-determined growth condition stability
Cuilian Zhou
School of Science Shandong University of Technology Zibo Shandong
国际会议
太原
英文
214-216
2010-10-22（万方平台首次上网日期，不代表论文的发表时间）