非齐次线性弹性系统在Dirichlet边界条件下的可控性  

Controllability of the Nonhomogeneous Linear Elastic System with Dirichlet Boundary Conditions

作　　者：白忠玉 BAI Zhongyu(Basic Teaching Department,Xinjiang University of Political Science and Law,Tumushuke Xinjiang 843900,China)

机构地区：[1]新疆政法学院基础教学部,新疆图木舒克843900

出　　处：《太原师范学院学报（自然科学版）》2024年第1期7-11,23,共6页Journal of Taiyuan Normal University:Natural Science Edition

基　　金：新疆政法学院校长基金资助项目(XZZK2023001).

摘　　要：研究了非各项同性线性弹性系统的可控性.在Dirichlet边界条件下,利用乘子法和Green公式,证明了齐次弹性系统的可观测性不等式,然后利用HUM方法,从可观测性结果推出了非齐次弹性系统的精确可控性,推广了各项同性弹性系统的结果.The controllability of nonisotropic linear elastic system is studied.Under Dirichlet boundary conditions,it is proved that the observability inequality of homogeneous elastic system using the multiplier method and Green formula.Then,this paper derived the exact controllability of nonhomogeneous elastic system from the observability results via the HUM method,and extended the results of isotropic elastic system.

关 键 词：线性弹性系统 DIRICHLET边界条件 可控性 

分 类 号：O231.4[理学—运筹学与控制论]