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.
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页码：93 / 110
页数：18
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