A SIMPLE TECHNIQUE FOR COMPUTING THE H-INFINITY-NORM OF POLYNOMIALS

被引：0

作者：

SHAHRUZ, SM

机构：

[1] Berkeley Engineering Research Institute, Berkeley, California

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1994年 / 82卷 / 01期

关键词：

H-INFINITY-NORM OF POLYNOMIALS; MAXIMUM OF TRIGONOMETRIC FUNCTIONS; ZEROS OF POLYNOMIALS;

D O I：

10.1007/BF02191787

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this note, computation of the H(infinity)-norm of polynomials is considered. It is shown that direct computation of the H(infinity)-norm of polynomials, based on the definition of the norm, results in a simple and inexpensive technique for computing the norm.

引用

页码：169 / 172

页数：4

共 50 条

[1] RECURSIVE ALGORITHM FOR THE COMPUTATION OF THE H-INFINITY-NORM OF POLYNOMIALS
GUO, L
XIA, LG
LIU, Y
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (12) : 1154 - 1157
[2] Approximation in H-infinity-norm
Schipp, F
Szili, L
APPROXIMATION THEORY AND FUNCTION SERIES, 1996, 5 : 307 - 320
[3] Flutter analysis by using H-infinity-norm
Yang, Zhi-Chun
Gu, Ying-Song
Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2009, 26 (06): : 694 - 696
[4] H-INFINITY-NORM BOUNDS FOR ARE-BASED DESIGNS
VEILLETTE, RJ
MEDANIC, JV
SYSTEMS & CONTROL LETTERS, 1989, 13 (03) : 193 - 204
[5] H-infinity-norm minimization and the stabilization of systems with repetitive dynamics
Owens, D.H.
Rogers, E.
Transactions of the Institute of Measurement and Control, 1992, 14 (03) : 126 - 129
[6] Convergence of optimal control problems with an H-infinity-norm constraint
Rotstein, H
AUTOMATICA, 1997, 33 (03) : 355 - 367
[7] H-INFINITY-NORM APPROXIMATION OF SYSTEMS BY CONSTANT MATRICES AND RELATED RESULTS
KAVRANOGLU, D
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (05) : 1006 - 1009
[8] A FAST ALGORITHM TO COMPUTE THE H-INFINITY-NORM OF A TRANSFER-FUNCTION MATRIX
BRUINSMA, NA
STEINBUCH, M
SYSTEMS & CONTROL LETTERS, 1990, 14 (04) : 287 - 293
[9] Structural-control optimization with H-2- and H-infinity-norm bounds
Khot, NS
Oz, H
OPTIMAL CONTROL APPLICATIONS & METHODS, 1997, 18 (04): : 297 - 311
[10] Relating H-2- and H-infinity-norm bounds for sampled-data systems
Hara, S
Anderson, BDO
Fujioka, H
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (06) : 858 - 863

← 1 2 3 4 5 →