Exponential stabilization for Timoshenko beam with different delays in the boundary control

被引：6

作者：

Liu, Xiu Fang ^{[1
,2
]}

Xu, Gen Qi ^{[3
]}

机构：

[1] Tianjin Univ, Sch Elect Engn & Automat, Tianjin 300072, Peoples R China

[2] Tianjin Polytech Univ, Dept Math, Tianjin 300382, Peoples R China

[3] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2017年 / 34卷 / 01期

关键词：

Timoshenko beam; input delay; exponential stabilization; boundary control; exact; observability; EULER-BERNOULLI BEAM; WAVE-EQUATION; INPUT DELAY; STABILITY; SYSTEMS; TERM;

D O I：

10.1093/imamci/dnv036

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we consider the exponential stabilization for Timoshenko beam with different delays in the boundary control. Suppose that the controller outputs are of the form a1u1( t) + alpha(1)u(1)(t) - beta(1)u(1)(t-t(1)) +gamma(1)u(1) (t - tau(2)) and alpha(2)u(2)(t) + beta(2)u(2)(t - tau(1)) +gamma(2)u(2)(t-tau(2)), where u(1)(t) and u(2)(t) are the inputs of boundary controllers.

引用

页码：93 / 110

页数：18

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