Computational Complexity of Robust Schur Stability Analysis by the Generalized Stability Feeler

被引：0

作者：

Matsuda, Tadasuke ^{[1
]}

Matsui, Hajime ^{[2
]}

Kawanishi, Michihiro ^{[2
]}

Narikiyo, Tatsuo ^{[2
]}

机构：

[1] Tokyo Univ Sci, Dept Elect Engn, Fac Engn Div 2, Tokyo 162, Japan

[2] Toyota Technol Inst, Nagoya, Aichi 468, Japan

来源：

2014 4TH AUSTRALIAN CONTROL CONFERENCE (AUCC) | 2014年

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper gives the computational complexity of the robust Schur stability analysis by the generalized stability feeler. Computational complexity of robust stability analysis is considered as an important characteristic to evaluate robust stability analysis methods. We derive the computational complexity from the algorithm of the generalized stability feeler. The result shows that the robust Schur stability can be checked in polynomial time.

引用

页码：55 / 59

页数：5

共 50 条

[1] Stability Feeler: a tool for parametric robust stability analysis and its applications
Matsuda, T.
Mori, T.
IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (12): : 1625 - 1633
[2] A new method for robust Schur stability analysis
de Oliveira, Mauricio C.
Oliveira, Ricardo C. L. F.
Peres, Pedro L. D.
INTERNATIONAL JOURNAL OF CONTROL, 2010, 83 (10) : 2181 - 2192
[3] On the stability of the generalized Schur algorithm
Mastronardi, N
Van Dooren, P
Van Huffel, S
NUMERICAL ANALYSIS AND ITS APPLICATIONS, 2001, 1988 : 560 - 567
[4] Computational experiments in robust stability analysis
Yoon, A
Khargonekar, P
PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 3260 - 3265
[5] Robust Schur stability with polynomial parameters
Dumitrescu, Bogdan
Chang, Bor-Chin
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (07) : 535 - 537
[6] ROBUST SCHUR STABILITY OF INTERVAL POLYNOMIALS
KRAUS, F
MANSOUR, M
JURY, EI
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (01) : 141 - 143
[7] ROBUST SCHUR STABILITY OF A POLYTOPE OF POLYNOMIALS
ACKERMANN, JE
BARMISH, BR
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (10) : 984 - 986
[8] Stability Feeler: A tool for analysis of polytopic polynomials
Department of Electronics and Information Science, Faculty of Engineering and Design, Kyoto Institute of Technology Goshokaidocho, Sakyo-ku, Kyoto 606-8585, Japan
不详
IEEJ Trans. Electron. Inf. Syst., 2006, 11 (1311-1317+7):
[9] Some remarks on the robust Schur stability analysis of interval polynomials
Jetto, Leopoldo
Orsini, Valentina
INTERNATIONAL JOURNAL OF CONTROL, 2009, 82 (03) : 493 - 496
[10] Robust Schur stability and eigenvectors of uncertain matrices
Wang, SG
PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1997, : 3449 - 3454

← 1 2 3 4 5 →