Boundary Feedback Stabilization of Kirchhoff-Type Timoshenko System

被引：6

作者：

Wu, Yuhu ^{[1
]}

Xue, Xiaoping ^{[2
]}

机构：

[1] Harbin Univ Sci & Technol, Dept Math, Harbin 150080, Peoples R China

[2] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2014年 / 20卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Timoshenko system; Boundary control; Asymptotic behavior; Energy decay rate; EXPONENTIAL STABILITY; MEMORY-TYPE; GLOBAL EXISTENCE; ENERGY DECAY; BEAM; THERMOELASTICITY;

D O I：

10.1007/s10883-014-9229-4

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 work, the stabilization problem of the nonlinear vibrating Timoshenko systems of Kirchhoff-type with boundary control conditions is considered. By virtue of the multiplier method, the explicit energy decay rates for solutions of the system are established, depending on boundary control feedback. In the view of control, the result of this work implies that, by choosing suited feedback boundary controls, the Kirchhoff-type Timoshenko system can be achieved by various decay rates, not only exponential and polynomial.

引用

页码：523 / 538

页数：16

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