作者:杨涛
学位名称:硕士
出处:北京理工大学 2009
关键词:Euler-Bernoulli梁系统;Kelvin-Voigt阻尼;高频谱;渐进表达式
作者:胡庆家
学位名称:硕士
出处:北京理工大学 2008
关键词:特征值;特征函数;强连续半群;Riesz基;指数稳定
摘要:本文主要研究一个带有记忆型的热传导系统的稳定性问题。通过对系统算子的分析,可以知道系统算子是耗散的并且生成一个强连续压缩半群。进一步通过计算和分析系统的特征方程,得到了系统的特征值和相应特征函数。最后通过构造一个新的参考协自伴算子,比较系统算子和参考协自伴算子的本征函数,利用经典Bari’s定理,证 ...
作者:Xiao-Hui Wu,Jun-Min Wang (School of Statistics and Mathematics,Beijing Institute of Technology)
出处:第34届中国控制与决策会议 2022
关键词:Internal;model;principle;disturbance;rejection;error;feedback;wave;equation;adaptive;method
摘要:In this paper,we are concerned with the output tracking problem for a hybrid wave-ODE system coupling an elastic string with a rigid body at one end.T ...
作者:Lina Pan,Jun-Min Wang (School of Mathematics and Statistics,Beijing Institute of Technology)
出处:第41届中国控制会议 2022
关键词:Stabilization;three;heat;equations;three;transformations
摘要:In this paper,we consider the exponential stabilization for a cascade system of three heat equations,where one boundary control is only applied to the ...
作者:Fei Wang1;Jun-Min Wang2;Xiao-Hui Wu2; (1School of Basic Education, Beijing Institute of Graphic Communication, Beijing, 102600, PR China;2School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, PR China)
出处:Journal of Mathematical Analysis and Applications 2022
关键词:Schrödinger equation;wave equation;boundary control;exact controllability
摘要:In this paper, we are concerned with the exact controllability of a Schrödinger equation through boundary coupling a wave equation, in which a control ...
作者:Fei Wang1;Jun-Min Wang2;Xiao-Hui Wu2; (1School of Basic Education, Beijing Institute of Graphic Communication, Beijing, 102600, PR China;2School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, PR China)
出处:J. Math. Anal. Appl. 2023
关键词:Schrödinger equation;wave equation;boundary control;exact controllability
摘要:In this paper, we are concerned with the exact controllability of a Schrödinger equation through boundary coupling a wave equation, in which a control ...