NEW ALGEBRAIC CRITERIA FOR ABSOLUTE STABILITY OF NONLINEAR-SYSTEMS

被引：1

作者：

HSIAO, FH ^{[1
]}

HSIEH, JG ^{[1
]}

CHANG, JS ^{[1
]}

机构：

[1] NATL SUN YAT SEN UNIV,INST ELECT ENGN,KAOHSIUNG 80424,TAIWAN

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 1995年 / 5卷 / 06期

关键词：

ALGEBRAIC CRITERIA; ABSOLUTE STABILITY; STURM THEOREM;

D O I：

10.1002/rnc.4590050605

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, new and simple algebraic criteria are derived via elementary proofs to provide easy sufficient conditions for the standard absolute stability problems of nonlinear systems, i.e. Lur'e problems. These criteria are equivalent to the famous graphical circle criteria and Popov criterion. By means of the Sturm theorem and the Euclidean division algorithm, a Routh-Hurwitz-like Sturm criterion is obtained. No graphical technique is needed. Only basic numerical manipulations are involved in the new criteria.

引用

页码：591 / 607

页数：17

共 50 条

[41] STABILITY IMPROVEMENT OF NONLINEAR-SYSTEMS BY FEEDBACK
KALOUPTSIDIS, N
TSINIAS, J
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1984, 29 (04) : 364 - 367
[42] NONLINEAR-SYSTEMS WITH INCOMPLETE CORRECTIONS AND THEIR STABILITY
KRASNOSELSKII, AM
KRASNOSELSKII, MA
KUZNETSOV, NA
DOKLADY AKADEMII NAUK SSSR, 1991, 318 (02): : 291 - 294
[43] IDENTIFIABILITY CRITERIA IN NONLINEAR-SYSTEMS - A FURTHER NOTE
FISHER, FM
ECONOMETRICA, 1965, 33 (01) : 197 - 205
[44] MODAL STRUCTURE AND STABILITY OF NONLINEAR-SYSTEMS
COOK, PA
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1979, 10 (05) : 579 - 587
[45] CRITERIA OF THE CONTROLLABILITY OF NONLINEAR-SYSTEMS AT PHASE CONSTRAINTS
EMELIANOV, SV
KOROVIN, SK
MAMEDOV, IG
NIKITIN, SV
DOKLADY AKADEMII NAUK SSSR, 1986, 290 (01): : 18 - 22
[46] STABILITY, BIFURCATION AND CATASTROPHES IN NONLINEAR-SYSTEMS
ELNASCHIE, MS
ALATHEL, S
WU, CW
CURRENT ADVANCES IN MECHANICAL DESIGN & PRODUCTION IV, 1989, : 407 - 414
[47] FREQUENCY CRITERIA FOR ABSOLUTE STABILITY OF NONLINEAR SAMPLED-DATA SYSTEMS
TSYPKIN, YZ
AUTOMATION AND REMOTE CONTROL, 1964, 25 (03) : 261 - &
[48] Absolute stability criteria for a class of nonlinear singular systems with time delay
Wang, Huijiao
Xue, Anke
Luc, Renquan
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (02) : 621 - 630
[49] Frequency-algebraic analysis of absolute stability of nonlinear automatic control systems
Gerasimov, O.I.
Yunger, I.B.
Izvestiya Akademii Nauk: Tekhnicheskaia Kibernetika, 1992, (01): : 213 - 217
[50] LIAPUNOV-FUNCTIONS AND STABILITY-CRITERIA FOR NONLINEAR-SYSTEMS WITH MULTIPLE CRITICAL EIGENVALUES
FU, JH
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1994, 7 (03) : 255 - 278

← 1 2 3 4 5 →