Riesz Basis Generation of a Beam Equation with Generalized Viscous Damping

被引：0

作者：

Zhou, Cuilian ^{[1
]}

机构：

[1] Shandong Univ Technol, Sch Sci, Zibo 255049, Shandong, Peoples R China

来源：

PROCEEDING OF THE 10TH INTERNATIONAL CONFERENCE ON INTELLIGENT TECHNOLOGIES | 2009年

关键词：

Euler-Bernoulli beam; Riesz basis; spectrum-determined growth condition; system operator; POLYNOMIAL BOUNDARY-CONDITIONS; EXPONENTIAL STABILITY; VARIABLE-COEFFICIENTS; BASIS PROPERTY; EVOLUTION-EQUATIONS; FLEXIBLE BEAM; HYBRID SYSTEM; DECAY-RATE; TIP MASS; STABILIZATION;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, the Riesz basis analysis for a Euler-Bernoulli beam equation with generalized viscous damping is conducted. By using Guo's 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 a beam equation with generalized viscous damping. Furthermore, we get the conclusions that the system operator A generates a C-0-semigroup e(At) on state space and the spectrum-determined growth condition holds : s(A) = omega(A).

引用

页码：441 / 445

页数：5

共 47 条

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