Extension of Kalman-Yakubovich-Popov lemma to descriptor systems

被引：20

作者：

Camlibel, M. K. ^{[1
,2
]}

Frasca, R. ^{[3
]}

机构：

[1] Univ Groningen, Dept Math, NL-9700 AV Groningen, Netherlands

[2] Dogus Univ, Dept Elect & Commun Engn, TR-34722 Istanbul, Turkey

[3] Univ Sannio, Dipartimento Ingn, I-82100 Benevento, Italy

来源：

SYSTEMS & CONTROL LETTERS | 2009年 / 58卷 / 12期

关键词：

Descriptor systems; Singular systems; Passive systems; Dissipative systems; Positive realness; Kalman-Yakubovich-Popov lemma; DISSIPATIVE DYNAMICAL-SYSTEMS; POSITIVE REALNESS;

D O I：

10.1016/j.sysconle.2009.08.010

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents a complete analogue of the well-known Kalman-Yakubovich-Popov lemma for descriptor systems, i.e. necessary and sufficient linear matrix inequality conditions for passivity and positive realness of descriptor systems. Also a full characterization of extended strictly positive realness is given for this class of systems. Some of the earlier related results are recovered from the presented results. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：795 / 803

页数：9

共 50 条

[41] Kalman-Popov-Yakubovich lemma for ordered fields
S. V. Gusev
Automation and Remote Control, 2014, 75 : 18 - 33
[42] The infinite-dimensional continuous time Kalman-Yakubovich-Popov inequality
Arov, Damir Z.
Staffans, Olof J.
EXTENDED FIELD OF OPERATOR THEORY, 2007, 171 : 37 - +
[43] The Kalman-Yakubovich-Popov inequality for differential-algebraic systems: Existence of nonpositive solutions
Reis, Timo
Voigt, Matthias
SYSTEMS & CONTROL LETTERS, 2015, 86 : 1 - 8
[44] Generalized Kalman-Yakubovich-Popov Lemma Based I-PD Controller Design for Ball and Plate System
Mochizuki, Shuichi
Ichihara, Hiroyuki
JOURNAL OF APPLIED MATHEMATICS, 2013,
[45] Reprint of "The Kalman-Yakubovich-Popov inequality for differential-algebraic systems: Existence of nonpositive solutions
Reis, Timo
Voigt, Matthias
SYSTEMS & CONTROL LETTERS, 2016, 95 : 3 - 10
[46] Extended Kalman-Yakubovich-Popov Conditions and Stability of Feedback Interconnections for Dissipative Discontinuous Dynamical Systems
Haddad, Wassim M.
Sadikhov, Teymur
2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2012, : 2280 - 2285
[47] Covariance analysis, positivity and the Yakubovich-Kalman-Popov lemma
Johansson, R
Robertsson, A
PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 3363 - 3368
[48] The Yakubovich-Kalman-Popov lemma and stability analysis of dynamic output feedback systems
Johansson, R
Robertsson, A
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2006, 16 (02) : 45 - 69
[49] ON SOME USEFUL LINKS BETWEEN EXTERNAL POSITIVITY, KALMAN-YAKUBOVICH-POPOV LEMMA AND POSITIVE REAL LEMMA FOR LINEAR TIME-INVARIANT SYSTEMS WITH CONSTANT POINT DELAYS
de la sen, Manuel
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2024, 20 (05): : 1415 - 1438
[50] Passification of non-square linear systems and feedback Yakubovich-Kalman-Popov lemma
Fradkov, A
EUROPEAN JOURNAL OF CONTROL, 2003, 9 (06) : 577 - 586

← 1 2 3 4 5 →