三类结构矩阵位移秩及在线性控制系统中的应用  

Displacement ranks of three classes of structured matrices and their applications in linear control systems

作　　者：曹萌[1] 吴化璋[1] CAO Meng;WU Huazhang(School of Mathematical Sciences,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学数学科学学院,合肥230601

出　　处：《应用数学与计算数学学报》2018年第4期978-984,共7页Communication on Applied Mathematics and Computation

基　　金：安徽大学研究生学术创新研究资助项目(yfc100009)

摘　　要：利用位移结构的性质和特点,对以往文献中的两类位移算子进行推广,研究了Hankel,Toeplitz和Vandermonde矩阵在三类新型位移算子下的位移秩.此外,给出了位移秩在线性控制系统中的若干应用.With the help of the properties and characteristic of displacement struc-ture,the displacement ranks on Hankel,Toeplitz and Vandermonde matrices under three new classes of displacement operators are investigated,which generalize the corresponding results of previous literature.Moreover,some applications of dis-placement ranks in linear control systems are presented.

关 键 词：位移秩 HANKEL矩阵 TOEPLITZ矩阵 VANDERMONDE矩阵 可控性矩阵 

分 类 号：O151.21[理学—数学]