Riesz Basis Property and Exponential Stability of Controlled Euler--Bernoulli Beam Equations with Variable Coefficients
نویسندگان
چکیده
منابع مشابه
Riesz Basis Property and Exponential Stability of Controlled Euler--Bernoulli Beam Equations with Variable Coefficients
This paper studies the basis property and the stability of a distributed system described by a nonuniform Euler–Bernoulli beam equation under linear boundary feedback control. It is shown that there is a sequence of generalized eigenfunctions of the system, which forms a Riesz basis for the state Hilbert space. The asymptotic distribution of eigenvalues, the spectrumdetermined growth condition,...
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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2002
ISSN: 0363-0129,1095-7138
DOI: 10.1137/s0363012900372519