Necessary and sufficient conditions for robust stability using modal intervals

被引：0

作者：

Vehí, J ^{[1
]}

Sainz, MA ^{[1
]}

机构：

[1] Univ Girona, IIiA, E-17071 Girona, Spain

来源：

42ND MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, PROCEEDINGS, VOLS 1 AND 2 | 1999年

关键词：

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, robustness of parametric systems is analyzed using a new approach to interval mathematics called Modal Interval Analysis. Modal Intervals are an interval extension that, instead of classic intervals, recovers some of the properties required by a numerical system. Modal Interval Analysis not only simplifies the computation of interval functions but allows semantic interpretation of their results. Necessary, sufficient and, in some cases, necessary and sufficient conditions for robust performance are presented.

引用

页码：673 / 676

页数：4

共 50 条

[1] Necessary and sufficient conditions for robust oscillatory stability
Gu, Nong
Yu, Wensheng
Xiang, Yong
Tan, Min
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2007, 38 (02) : 179 - 185
[2] Robust Regional Stability: Sufficient and Necessary Conditions
Luo, Guan-chen
Yu, Jian-qiao
Zhang, Xiang
2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 1415 - 1418
[3] Necessary and sufficient conditions for robust oscillation
Xu, DY
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1996, 27 (04) : 367 - 371
[4] Necessary and sufficient conditions for stability of LMS
Chinese Acad of Sciences, Beijing, China
IEEE Trans Autom Control, 6 (761-770):
[5] NECESSARY AND SUFFICIENT CONDITIONS FOR MIXED STABILITY
KAYANADE, AA
RAO, MRM
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 146 - &
[6] THE NECESSARY AND SUFFICIENT CONDITIONS OF STABILITY IN THE LARGE
VERETENNIKOV, VG
ZAITSEV, VV
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1982, 46 (05): : 602 - 608
[7] Necessary and sufficient conditions for stability of LMS
Guo, L
Ljung, L
Wang, GJ
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (06) : 761 - 770
[8] ALGEBRAIC-THEORY FOR ROBUST STABILITY OF INTERCONNECTED SYSTEMS - NECESSARY AND SUFFICIENT CONDITIONS
CHEN, MJ
DESOER, CA
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1984, 29 (06) : 511 - 519
[9] A NECESSARY AND SUFFICIENT CONDITION FOR ROBUST BIBO STABILITY
DAHLEH, MA
OHTA, Y
SYSTEMS & CONTROL LETTERS, 1988, 11 (04) : 271 - 275
[10] Unified Necessary and Sufficient Conditions for the Robust Stability of Interconnected Sector-Bounded Systems
Cyrus, Saman
Lessard, Laurent
2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 7690 - 7695

← 1 2 3 4 5 →