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

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.