Stability of homogeneous non-linear systems

被引：2

作者：

Kharrat, Thouraya ^{[1
]}

机构：

[1] Sfax Univ, Dept Math, Fac Sci, Sfax, Tunisia

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2017年 / 34卷 / 02期

关键词：

homogeneous; system; dilation; stability; stabilizability; submanifold; LYAPUNOV FUNCTION; VECTOR FIELD; STABILIZATION;

D O I：

10.1093/imamci/dnv050

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, using some results on manifolds, we establish some conditions for asymptotic stability and stabilization of single-input homogeneous systems.

引用

页码：451 / 461

页数：11

共 50 条

[1] THE RESONANT VIBRATION OF HOMOGENEOUS NON-LINEAR SYSTEMS
SZEMPLINSKASTUPNICKA, W
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1980, 15 (4-5) : 407 - 415
[2] STABILITY OF NON-LINEAR HOMOGENEOUS SIGMA-MODELS
BLASI, A
COLLINA, R
[J]. PHYSICS LETTERS B, 1988, 200 (1-2) : 98 - 102
[3] STABILITY OF NON-LINEAR PULSE SYSTEMS
GELIG, AK
[J]. DOKLADY AKADEMII NAUK SSSR, 1968, 178 (04): : 793 - &
[4] NON-LINEAR SYSTEMS - STABILITY AND RATIONALITY
HAMMER, J
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1984, 40 (01) : 1 - 35
[5] STABILITY OF NON-LINEAR TRANSPORTATION SYSTEMS
DERESE, I
NOLDUS, E
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1981, 34 (05) : 1017 - 1026
[6] STABILITY OF NON-LINEAR CONTROL SYSTEMS
KAUFMAN, H
[J]. GEOPHYSICS, 1966, 31 (01) : 276 - &
[7] The stability of a class of non-linear systems
Aleksandrov, AY
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2000, 64 (04): : 521 - 526
[8] THE STABILITY OF NON-LINEAR CONTROLLED SYSTEMS
ROSENWASSER, EN
[J]. DOKLADY AKADEMII NAUK SSSR, 1957, 117 (04): : 582 - 585
[9] STABILITY, NON-LINEAR, AND DISTRIBUTED SYSTEMS
DAVIS, JH
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1979, 24 (04) : 525 - 525
[10] On the density of systems of non-linear spatially homogeneous SPDEs
Nualart, Eulalia
[J]. STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2013, 85 (01) : 48 - 70

← 1 2 3 4 5 →