On the Kalman-Yakubovich-Popov lemma and the multidimensional models

被引：25

作者：

Bachelier, Olivier ^{[2
]}

Paszke, Wojciech ^{[1
]}

Mehdi, Driss ^{[2
]}

机构：

[1] Eindhoven Univ Technol, Control Syst Technol Grp, NL-5600 MB Eindhoven, Netherlands

[2] Univ Poitiers, LAII, ESIP, F-86022 Poitiers, France

来源：

MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING | 2008年 / 19卷 / 3-4期

关键词：

KYP lemma; hybrid n-D Roesser model; S-procedure; polynomial matrix partial derivative D-regularity; LMI;

D O I：

10.1007/s11045-008-0055-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper focuses on Kalman-Yakubovich-Popov lemma for multidimensional systems described by Roesser model that possibly includes both continuous and discrete dynamics. It is shown that, similarly to the standard 1-D case, this lemma can be studied through the lens of S-procedure. Furthermore, by virtue of this lemma, we will examine robust stability, bounded and positive realness of multidimensional systems.

引用

页码：425 / 447

页数：23

共 50 条

[1] On the Kalman-Yakubovich-Popov lemma
Rantzer, A
SYSTEMS & CONTROL LETTERS, 1996, 28 (01) : 7 - 10
[2] On the Kalman–Yakubovich–Popov lemma and the multidimensional models
Olivier Bachelier
Wojciech Paszke
Driss Mehdi
Multidimensional Systems and Signal Processing, 2008, 19 : 425 - 447
[3] On Kalman-Yakubovich-Popov Lemma for stabilizable systems
Collado, J
Lozano, R
Johansson, R
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (07) : 1089 - 1093
[4] The Kalman-Yakubovich-Popov Lemma in a behavioural framework
van der Geest, R
Trentelman, H
SYSTEMS & CONTROL LETTERS, 1997, 32 (05) : 283 - 290
[5] On the Kalman-Yakubovich-Popov Lemma for Positive Systems
Rantzer, Anders
2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2012, : 7482 - 7484
[6] The Kalman-Yakubovich-Popov Lemma in a behavioural framework
Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE Enschede, Netherlands
不详
Syst Control Lett, 5 (283-290):
[7] On the Kalman-Yakubovich-Popov Lemma for Positive Systems
Rantzer, Anders
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (05) : 1346 - 1349
[8] An alternative Kalman-Yakubovich-Popov lemma and some extensions
Graham, Matthew R.
de Oliveira, Mauricio C.
de Callafon, Raymond A.
AUTOMATICA, 2009, 45 (06) : 1489 - 1496
[9] Extension of Kalman-Yakubovich-Popov lemma to descriptor systems
Camlibel, M. K.
Frasca, R.
SYSTEMS & CONTROL LETTERS, 2009, 58 (12) : 795 - 803
[10] A Kalman-Yakubovich-Popov Lemma with affine dependence on the frequency
Graham, M. R.
de Oliveira, M. C.
2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2008, : 1086 - 1091

← 1 2 3 4 5 →