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

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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.

作者宗西举赵怡殷朝阳

机构地区中山大学数学与计算科学学院

出处《控制理论与应用》 EI CAS CSCD 北大核心 2006年第2期229-234,共6页 Control Theory & Applications

关键词 Petrowsky系统能稳性能控性能稳性导致能控性 Petrowsky system exact controllability stabilizability controllability via stabilizability

分类号 O231 [理学—运筹学与控制论]

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1宗西举,赵怡,刘国刚.具有内部控制和边界控制的线性Petrowsky系统的精确能控性[J].兰州大学学报（自然科学版）,2007,43(5):101-105. 被引量：1
2宗西举,赵怡.有界区域上Petrowsky系统的能控性:极小泛函方法[J].控制理论与应用,2007,24(3):380-384.

控制理论与应用

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有界区域上Petrowsky系统的能控性和能稳性

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