RATIONAL INTERPOLATION AND STATE-VARIABLE REALIZATIONS

被引:58
作者
ANDERSON, BDO
ANTOULAS, AC
机构
[1] SWISS FED INST TECHNOL,MATH SYST THEORY,CH-8092 ZURICH,SWITZERLAND
[2] RICE UNIV,DEPT ELECT & COMP ENGN,HOUSTON,TX 77251
关键词
D O I
10.1016/0024-3795(90)90140-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The problem is considered of passing from interpolation data for a real rational transfer-function matrix to a minimal state-variable realization of the transfer-function matrix. The tool is a Loewner matrix, which is a generalization of the Standard Hankel matrix of linear system realization theory, and which possesses a decomposition into a product of generalized observability and controllability matrices. © 1990.
引用
收藏
页码:479 / 509
页数:31
相关论文
共 10 条
[1]   On the Scalar Rational Interpolation Problem [J].
Antoulas, A. C. ;
Anderson, B. D. Q. .
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 1986, 3 (2-3) :61-88
[2]   ON THE PROBLEM OF STABLE RATIONAL INTERPOLATION [J].
ANTOULAS, AC ;
ANDERSON, BDO .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 122 :301-329
[3]  
ANTOULAS AC, 1986, 7TH P INT C ANAL OPT
[4]  
ANTOULAS AC, IN PRESS LINEAR ALGE
[5]  
BELEVITCH V, 1970, PHILIPS RES REP, V25, P337
[6]   HANKEL AND LOEWNER MATRICES [J].
FIEDLER, M .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1984, 58 (APR) :75-95
[7]  
KAILATH T, 1978, LINEAR SYSTEMS
[8]  
Kalman R. E., 1969, TOPICS MATH SYSTEM T
[9]  
Kalman R.E., 1979, ACTA POLYTECH SCAND, V31, P9
[10]  
KALMAN RE, 1971, ASPECTS NETWORK SYST