On the property of a discrete impulse response Gramian with application to model reduction

被引:3
作者
Choo, Y [1 ]
机构
[1] Hongik Univ, Dept Elect & Elect Engn, Chungnam 339701, South Korea
关键词
discrete impulse response Gramian; model reduction;
D O I
10.1093/ietfec/e88-a.12.3658
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
It has been observed in the literature that the characteristic polynomial of a discrete system can be computed from the characteristic impulse response Gramian. In this letter it is shown that a given characteristic impulse response Gramian, in fact, contains information on two characteristic polynomials. The importance of this result is illustrated through an application to model reduction of discrete systems.
引用
收藏
页码:3658 / 3660
页数:3
相关论文
共 10 条
[1]   THE GENERATION OF ALL Q-MARKOV COVERS [J].
ANDERSON, BDO ;
SKELTON, RE .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (04) :375-384
[2]   A new discrete impulse response Gramian and its application to model reduction [J].
Azou, S ;
Bréhonnet, P ;
Vilbé, P ;
Calvez, LC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (03) :533-537
[3]   IDENTIFICATION OF LINEAR SYSTEMS THROUGH A GRAMMIAN TECHNIQUE [J].
JAIN, VK ;
GUPTA, RD .
INTERNATIONAL JOURNAL OF CONTROL, 1970, 12 (03) :421-+
[4]  
Kailath T., 1980, LINEAR SYSTEMS
[5]   ON THE PROPERTIES OF GRAM MATRIX [J].
SREERAM, V ;
AGATHOKLIS, P .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1994, 41 (03) :234-237
[6]   DISCRETE-SYSTEM REDUCTION VIA IMPULSE-RESPONSE GRAMIANS AND ITS RELATION TO Q-MARKOV COVERS [J].
SREERAM, V ;
AGATHOKLIS, P .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (05) :653-658
[7]   MODEL-REDUCTION OF LINEAR DISCRETE-SYSTEMS VIA WEIGHTED IMPULSE-RESPONSE GRAMIANS [J].
SREERAM, V ;
AGATHOKLIS, P .
INTERNATIONAL JOURNAL OF CONTROL, 1991, 53 (01) :129-144
[8]   CHARACTERISTIC IMPULSE-RESPONSE GRAMMIANS [J].
SREERAM, V ;
YAP, FK .
ELECTRONICS LETTERS, 1991, 27 (14) :1285-1287
[9]   NOTE ON THE HANKEL MATRIX [J].
SREERAM, V ;
ZOMAYA, AY .
ELECTRONICS LETTERS, 1991, 27 (04) :362-364
[10]   IMPULSE-RESPONSE GRAMMIAN FOR DISCRETE-SYSTEMS [J].
SREERAM, V ;
BERINSON, D ;
LEUNG, YH .
ELECTRONICS LETTERS, 1991, 27 (19) :1689-1691