重频结构可控性  

Controllability of structure with repeated eigenvalues

作　　者：姚国凤[1] 高雪飞[1] 

机构地区：[1]吉林大学机械科学与工程学院,长春130022

出　　处：《吉林大学学报（工学版）》2008年第6期1359-1365,共7页Journal of Jilin University:Engineering and Technology Edition

基　　金：吉林大学'985工程'项目;吉林省科技发展计划项目(20080540);国家自然科学基金项目(59575025)

摘　　要：给出了具有可操作的重特征值系统(完备的及亏损的)完全可控性的两个必要条件及其证明,同时还给出两个充分条件及其证明,并提出了一种控制力分布矩阵B的选取方法。所给出的4个定理和一个选择方法解决了任意线性结构的实际可控性问题,指出了结构完全可控需要的执行器的最小数量及其位置,使得对结构可控有了更清晰的认识。最后用数值算例说明条件和方法的正确性。Two necessary conditions of complete controllability of a repeated eigenvalues system （regular and defective system） and their proofs are given. At same time two sufficient conditions, their proofs and a method of selecting control force distribution matrix are also presented. In the following sections, the four theorems and one method of selecting force distribution matrix are given. They solved practical controllability of any linear structures and given the least number and locations of actuators if the structure is completely controllable. So that makes us understand structural controllability clearly. Finally, some numerical examples are given to verify our theorems and method.

关 键 词：固体力学 可控性 孤立特征值系统 重特征值系统 状态空间方程 

分 类 号：O34[理学—固体力学]