有界区域上Petrowsky系统的能控性和能稳性  

Controllability and stabilizability of the Petrowsky equation in bounded domain

作　　者：宗西举[1] 赵怡[1] 殷朝阳[1] 

机构地区：[1]中山大学数学与计算科学学院,广东广州510275

出　　处：《控制理论与应用》2006年第2期229-234,共6页Control Theory & Applications

摘　　要：利用D.L.Russel关于“能稳性导致能控性”的论断,研究Petrow sky系统的能控性,首先取线性反馈控制,得到线性反馈Petrow sky系统的能量的指数衰减,从而由D.L.Russel的“能稳性导致能控性”的论断得到能控性.其次取非线性反馈控制,得到Petrow sky系统的一些能量估计,但是不能得到指数能稳.Exact controllability problem of the Petrowsky system is studied by using the stabilization method proposed by D. L. Russel. It is shown that if one uses the linear ＂feedback＂, then the energy of the system will decay uniformly exponentially and exact controllability can be obtained. However, when the feedback contains certain nonlinear dissipative terms the above conclusion can not be reached.

关 键 词：Petrowsky系统 能稳性 能控性 能稳性导致能控性 

分 类 号：O231[理学—运筹学与控制论]