Remarks on the relationship between ℒp stability and internal stability of nonlinear systems

Xu Wang; H°avard Fjær Grip; Ali A. Saberi; Antonie Arij Stoorvogel; Ingmar Saberi

doi:10.1002/rnc.2851

Remarks on the relationship between ℒp stability and internal stability of nonlinear systems

Xu Wang, H°avard Fjær Grip, Ali A. Saberi, Antonie Arij Stoorvogel, Ingmar Saberi

Research output: Contribution to journal › Article › Academic › peer-review

8 Downloads (Pure)

Abstract

In this paper, we investigate the relationship between ℒ_p stability and internal stability of nonlinear systems. It is shown that under certain conditions, ℒ_p stability implies attractivity of the equilibrium and that local ℒ_p stability with finite gain implies local asymptotic stability of the origin.

Original language	English
Pages (from-to)	1822-1827
Number of pages	6
Journal	International journal of robust and nonlinear control
Volume	23
Issue number	16
DOIs	https://doi.org/10.1002/rnc.2851
Publication status	Published - 2013

Keywords

Nonlinear system
Internal stability
Stability

Access to Document

10.1002/rnc.2851

Cite this

@article{d022c75905d4488187192b683ab1058a,

title = "Remarks on the relationship between ℒp stability and internal stability of nonlinear systems",

abstract = "In this paper, we investigate the relationship between ℒp stability and internal stability of nonlinear systems. It is shown that under certain conditions, ℒp stability implies attractivity of the equilibrium and that local ℒp stability with finite gain implies local asymptotic stability of the origin.",

keywords = "Nonlinear system, Internal stability, Stability",

author = "Xu Wang and Grip, {H°avard Fj{\ae}r} and Saberi, {Ali A.} and Stoorvogel, {Antonie Arij} and Ingmar Saberi",

year = "2013",

doi = "10.1002/rnc.2851",

language = "English",

volume = "23",

pages = "1822--1827",

journal = "International journal of robust and nonlinear control",

issn = "1049-8923",

publisher = "Wiley",

number = "16",

}

TY - JOUR

T1 - Remarks on the relationship between ℒp stability and internal stability of nonlinear systems

AU - Wang, Xu

AU - Grip, H°avard Fjær

AU - Saberi, Ali A.

AU - Stoorvogel, Antonie Arij

AU - Saberi, Ingmar

PY - 2013

Y1 - 2013

N2 - In this paper, we investigate the relationship between ℒp stability and internal stability of nonlinear systems. It is shown that under certain conditions, ℒp stability implies attractivity of the equilibrium and that local ℒp stability with finite gain implies local asymptotic stability of the origin.

AB - In this paper, we investigate the relationship between ℒp stability and internal stability of nonlinear systems. It is shown that under certain conditions, ℒp stability implies attractivity of the equilibrium and that local ℒp stability with finite gain implies local asymptotic stability of the origin.

KW - Nonlinear system

KW - Internal stability

KW - Stability

U2 - 10.1002/rnc.2851

DO - 10.1002/rnc.2851

M3 - Article

SN - 1049-8923

VL - 23

SP - 1822

EP - 1827

JO - International journal of robust and nonlinear control

JF - International journal of robust and nonlinear control

IS - 16

ER -

Remarks on the relationship between ℒp stability and internal stability of nonlinear systems

Abstract

Keywords

Access to Document

Fingerprint

Cite this