Robust persistence for semidynamical systems

Hal Smith; X. Q. Zhao

doi:10.1016/S0362-546X(01)00678-2

Robust persistence for semidynamical systems

Hal Smith, X. Q. Zhao

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Conference article › peer-review

233 Scopus citations

Abstract

Robust persistence for semidynamical systems was investigated. The properties of chain transitive sets were used to study the robustness a semidynamical system to perturbations of the system under mild compactness conditions. The robustness of uniform persistence is useful in establishing the robustness of global asymptotic stability of an equilibrium solution.

Original language	English (US)
Pages (from-to)	6169-6179
Number of pages	11
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	47
Issue number	9
DOIs	https://doi.org/10.1016/S0362-546X(01)00678-2
State	Published - Aug 1 2001
Event	Proceedings of the 3th World Congress of Nonlinear Analysts (WCNA 2000) - Catania, Italy Duration: Jul 19 2000 → Jul 26 2000

Keywords

Chain transitive sets
Uniform persistence

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/S0362-546X(01)00678-2

Cite this

@article{b53a721d5a964df38763528c038c0a7f,

title = "Robust persistence for semidynamical systems",

abstract = "Robust persistence for semidynamical systems was investigated. The properties of chain transitive sets were used to study the robustness a semidynamical system to perturbations of the system under mild compactness conditions. The robustness of uniform persistence is useful in establishing the robustness of global asymptotic stability of an equilibrium solution.",

keywords = "Chain transitive sets, Uniform persistence",

author = "Hal Smith and Zhao, {X. Q.}",

year = "2001",

month = aug,

day = "1",

doi = "10.1016/S0362-546X(01)00678-2",

language = "English (US)",

volume = "47",

pages = "6169--6179",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Limited",

number = "9",

note = "Proceedings of the 3th World Congress of Nonlinear Analysts (WCNA 2000) ; Conference date: 19-07-2000 Through 26-07-2000",

}

TY - JOUR

T1 - Robust persistence for semidynamical systems

AU - Smith, Hal

AU - Zhao, X. Q.

PY - 2001/8/1

Y1 - 2001/8/1

N2 - Robust persistence for semidynamical systems was investigated. The properties of chain transitive sets were used to study the robustness a semidynamical system to perturbations of the system under mild compactness conditions. The robustness of uniform persistence is useful in establishing the robustness of global asymptotic stability of an equilibrium solution.

AB - Robust persistence for semidynamical systems was investigated. The properties of chain transitive sets were used to study the robustness a semidynamical system to perturbations of the system under mild compactness conditions. The robustness of uniform persistence is useful in establishing the robustness of global asymptotic stability of an equilibrium solution.

KW - Chain transitive sets

KW - Uniform persistence

UR - http://www.scopus.com/inward/record.url?scp=0035415180&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035415180&partnerID=8YFLogxK

U2 - 10.1016/S0362-546X(01)00678-2

DO - 10.1016/S0362-546X(01)00678-2

M3 - Conference article

AN - SCOPUS:0035415180

SN - 0362-546X

VL - 47

SP - 6169

EP - 6179

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 9

T2 - Proceedings of the 3th World Congress of Nonlinear Analysts (WCNA 2000)

Y2 - 19 July 2000 through 26 July 2000

ER -

Robust persistence for semidynamical systems

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this