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具内部输入时滞控制及输入分布时滞Timoshenko梁的动态反馈镇定

王小瑞 刘喜兰

应用数学2021,Vol.34Issue(4):958-974,17.
应用数学2021,Vol.34Issue(4):958-974,17.

具内部输入时滞控制及输入分布时滞Timoshenko梁的动态反馈镇定

Dynamic Feedback Stabilization for Timoshenko Beam with Locally Input Controls and Input Distributed Delay

王小瑞 1刘喜兰2

作者信息

  • 1. 青海民族大学数学与统计学院,青海 西宁 810007
  • 2. 宝鸡文理学院数学与信息科学学院,陕西 宝鸡 721013
  • 折叠

摘要

Abstract

In this paper, based on the method of dynamic feedback controller treating the boundary control with delays, we consider the exponential stabilization for a Timoshenko beam with interior locally input delayed controls and input distributed delay control. We design a new dynamic feedback control law to stabilize exponentially this system, and show that the original system is stabilized exponentially.

关键词

Timoshenko梁系统/输入分布时滞/动态反馈控制器/指数稳定

Key words

Timoshenko beam/Input distributed delay/Dynamic feedback controller/Exponential stabilization

分类

数理科学

引用本文复制引用

王小瑞,刘喜兰..具内部输入时滞控制及输入分布时滞Timoshenko梁的动态反馈镇定[J].应用数学,2021,34(4):958-974,17.

基金项目

Partially supported by the NNSF(61773277,11561043),the NSF of Qinghai Province(2017-ZJ-908)and partially supported by the Research Project of Qinghai Nationalities Univer-sity(2021XJG11) (61773277,11561043)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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