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

作　　者：王小瑞[1] 刘喜兰 WANG Xiaorui;LIU Xilan(School of Mathematics and Statistics,Qinghai Nationalities University,Xining 810007,China;School of Mathematics and Information Science,Baoji University of Arts and Sciences,Baoji 721013,China)

机构地区：[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

出　　处：《应用数学》2021年第4期958-974,共17页Mathematica Applicata

基　　金：Partially supported by the NNSF (61773277,11561043);the NSF of Qinghai Province (2017-ZJ-908);partially supported by the Research Project of Qinghai Nationalities University (2021XJG11)。

摘　　要：基于动态反馈控制器处理边界时滞控制系统的方法,本文考虑了具有内部局部输入时滞控制和输入分布时滞控制的Timoshenko梁的指数稳定性.我们设计了一种新的动态反馈控制律来镇定该系统,并证明了原系统是指数稳定的.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 

分 类 号：O175.2[理学—数学]