具零特征的线性双曲型方程组的精确能控性  

Exact Controllability for Linear Hyperbolic Systems with Zero Eigenvalues

作　　者：李宜蒙 于立新[1] 

机构地区：[1]烟台大学数学与信息科学学院,山东烟台264005

出　　处：《烟台大学学报（自然科学与工程版）》2018年第1期6-13,共8页Journal of Yantai University(Natural Science and Engineering Edition)

摘　　要：主要研究一个具有零特征的一阶线性双曲型方程组的精确能控性.首先给出了实现精确边界能控性的充分必要条件,在此条件下实现了双侧边界控制和单侧边界控制的精确边界能控性.然后考虑了当充分必要条件不满足时,通过对对应于非零特征值的方程加以适当的内部控制,结合适当的边界控制一起实现了此类方程组的精确能控性.This paper mainly discussed the exact controllability of one-order linear hyperbolic systems which have zero eigenvalues. Necessary and sufficient conditions to realize exact boundary controllability are given at first. When the conditions mentioned before are satisfied, two-sides and one-side exact boundary control are achieved. Then, when necessary and sufficient conditions are not satisfied, appropriate internal control combined with proper boundary control are given to the corresponding non-zero eigenvalue equations to realize exact controllability of such systems.

关 键 词：线性双曲型方程组 精确能控性 混合初边值问题 

分 类 号：O175.2[理学—数学]