Identification of variable coefficients for vibrating systems by boundary control and observation
Jinde CHANG
摘要：We consider the identification problem of coefficients for vibrating systems described by a Euler-Bernoulli beam equation or a string equation,with one end clamped and with an input exerted on the other end.For the beam equation,the observations are the velocity and the angle velocity at the free end,While for the string equation,the observation is the velocity at the free end.In the framework of well-posed linear system theory,we show that both the density and the flexural rigidity of the beam,and the tension of the string,can be uniquely determined by the observations for all positive times.Moreover,a general constructive method is developed to show that the mass density and the elastic modulus of the string are not determined by the observation.
机标关键词：boundary controlstring equationconstructive methodflexural rigiditylinear systemmodulus ofthe mass
分类号：TP3(计算技术、计算机技术)
资助基金：国家自然科学基金(K411331528)
论文发表日期：2008-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：6( 127-132 )
英文信息