Exponential stability of two strings under joint damping with variable coefficients

被引：2

作者：

Ben Amara, Jamel ^{[1
]}

Boughamda, Walid ^{[1
]}

机构：

[1] Univ Tunis El Manar, Fac Sci Tunis, Tunis, Tunisia

来源：

SYSTEMS & CONTROL LETTERS | 2020年 / 141卷

关键词：

Vibrating string; Riesz basis; Exponential stability; Variable coefficients; RIESZ BASIS PROPERTY; VIBRATING STRINGS; POINTWISE STABILIZATION; ENERGY DECAY; CONTROLLABILITY; SYSTEM; EIGENFUNCTIONS; EXPANSION; EQUATIONS;

D O I：

10.1016/j.sysconle.2020.104709

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study the stabilization of two vibrating strings with variable physical coefficients joined by a feedback control at a common endpoint and subject to non-symmetrical boundary conditions. We prove that this system is exponentially stable under sufficient conditions on the physical coefficients. For this result, we show that the system has a sequence of the generalized eigenvectors which forms a Riesz basis with parentheses for the state Hilbert space, and as a consequence the spectrum-determined growth condition holds. (C) 2020 Published by Elsevier B.V.

引用

页数：7

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