一个具有零特征的线性双曲型方程组的精确能控性  

Exact Controllability of a Linear Hyperbolic Systems with Zero Eigenvalues

作　　者：江秀存 于立新[1] JIANG Xiu-cun YU Li-xin(School of Mathematics and Informational Sciences, Yantai University, Yantai 264005, Chin)

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）》2017年第4期267-272,共6页Journal of Yantai University(Natural Science and Engineering Edition)

摘　　要：考虑了一个含有3个线性方程且具有零特征的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的必要条件.在此基础上,仅通过边界控制(单侧或双侧)即可实现精确能控性.随后,又讨论了在给出的条件不满足的情况下,通过在非零特征对应的方程上施加适当的内部控制连同边界控制(单侧或双侧)实现了此方程组的精确能控性.We consider the exact controllability of a linear hyperbolic systems with zero eigenvalues. First of all, we give a necessary condition about initial and final values. In this situation, we can realize the controllability just by boundary control. Then, we consider that the condition does not meet the case. We add the internal control to the e- quations with zero eigenvalues. And we realize the exact controllability by local internal controls acting on equations corresponding to non-zero eigenvalues and boundary controls.

关 键 词：线性双曲型方程组 精确能控性 混合初边值问题 边界控制和内部控制 

分 类 号：O175.2[理学—数学]