On some norms for descriptor systems

被引：29

作者：

Stykel, Tatjana ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2006年 / 51卷 / 05期

关键词：

controllability and observability Gramians; convolution operator; descriptor system; frequency response; Hankel operator; Hankel singular values; impulse response; system norms;

D O I：

10.1109/TAC.2006.875010

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We present generalizations of the impulse and frequency responses as well as convolution and Hankel operators for continuous-time and discrete-time descriptor systems. Some norms for descriptor systems are introduced and their representations via the different linear system concepts are considered.

引用

页码：842 / 847

页数：6

共 13 条

[1]

Antoulas A.C., 2005, ADV DES CONTROL, DOI 10.1137/1.9780898718713

[2] LYAPUNOV-LIKE EQUATIONS AND REACHABILITY OBSERVABILITY GRAMIANS FOR DESCRIPTOR SYSTEMS [J].

BENDER, DJ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (04) :343-348

[3] A FAST ALGORITHM TO COMPUTE THE H-INFINITY-NORM OF A TRANSFER-FUNCTION MATRIX [J].

BRUINSMA, NA ;

STEINBUCH, M .

SYSTEMS & CONTROL LETTERS, 1990, 14 (04) :287-293

[4]

BUCHHOLTZ JJ, 2003, INVERSION IMPOSSIBLE

[5]

Dai L., 1989, LECT NOTES CONTROL I

[6] ALL OPTIMAL HANKEL-NORM APPROXIMATIONS OF LINEAR-MULTIVARIABLE SYSTEMS AND THEIR L INFINITY-ERROR BOUNDS [J].

GLOVER, K .

INTERNATIONAL JOURNAL OF CONTROL, 1984, 39 (06) :1115-1193

[7] THE COMPLEX STABILITY RADIUS OF DISCRETE-TIME-SYSTEMS AND SYMPLECTIC PENCILS [J].

HINRICHSEN, D ;

SON, NK .

PROCEEDINGS OF THE 28TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, 1989, :2265-2270

[8] Numerical computation of the minimal H∞ norm of the discrete-time output feedback control problem [J].

Lin, WW ;

Wang, CS ;

Xu, QF .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2000, 38 (02) :515-547

[9] DYNAMIC EQUATIONS IN DESCRIPTOR FORM [J].

LUENBERGER, DG .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (03) :312-322

[10]

MULLER PC, 1999, J BRAZ SOC MECH SCI, V21, P423

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