摘要
讨论了带有扰动项和阻尼项且被Dirichlet边界控制的波动方程的精确能控性,通过在系统的边界选择合适的控制函数,利用构造同构映射和乘子技巧,证明该系统是精确能控的。
The exact controllability for dynamics governed by wave equation with disturbance and damp terms is considered subject to Dirichlet boundary term control,the suitable control function is selected in boundary,the exact controllability of the system is proved by building isomorphic mapping and the multiplier technique.
作者
郭利军
张建文
王银珠
GUO Lijun1,2 , ZHANG Jianwen1 , WANG Yinzhu2(1. College of Mechanics, Taiyuan University of Technology, Tai yuan 030024, China 2. School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024)
出处
《太原理工大学学报》
CAS
北大核心
2018年第3期505-510,共6页
Journal of Taiyuan University of Technology
基金
国家自然科学基金资助项目(11172194)
关键词
波动方程
同构
扰动
阻尼
精确能控性
wave equation
isomorphism
disturbance
clamp
exact controllability
