2维系统的Leverrier算法(英文)  

Leverrier' s Algorithm for 2-D System

作　　者：王国荣[1] 郑兵[2] 

机构地区：[1]上海师范大学数理信息学院,上海200234 [2]上海大学数学系,上海200436

出　　处：《上海师范大学学报（自然科学版）》2003年第1期1-8,共8页Journal of Shanghai Normal University(Natural Sciences)

基　　金：Foundation item:Supported by NSFC project(19971057)and science and technology Foundation of Shanghai and Shanghai Higher Eduction Project(00JC14057)

摘　　要：提出了一个Leverrier-like算法,它计算2维状态空间所描述线性正则系统的转移函数而不必计算多变量多项式矩阵的逆阵,这个算法是1维系统的经典的Leverrier算法的推广,且它减少了计算量,由本算法也导出了2维Caylay-Ham-ilton定理。A Leverrier-like algorithm is presented which allows the computation of the transfer function of a linear regular system from its 2-D state - space description, without inverting a multivariable polynomial matrix. This algorithm is an extension of the classic Leverrier' s algorithm for 1-D systems and it reduces the computational cost. The 2-D Cayley-Hamilton theorem is also shown by the algorithm.

关 键 词：2维系统 Leverrier算法 Caylay-Hamilton定理 

分 类 号：O177.91[理学—数学]