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Asymptotic orbital stability conditions for flows by estimates of singular values of the linearization. / Leonov, Gennady Alekseevich; Noack, Antje; Reitmann, Volker.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 44, No. 8, 06.2001, p. 1057-1085.

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

Harvard

Leonov, GA, Noack, A & Reitmann, V 2001, 'Asymptotic orbital stability conditions for flows by estimates of singular values of the linearization', Nonlinear Analysis, Theory, Methods and Applications, vol. 44, no. 8, pp. 1057-1085. https://doi.org/10.1016/S0362-546X(99)00322-3

APA

Leonov, G. A., Noack, A., & Reitmann, V. (2001). Asymptotic orbital stability conditions for flows by estimates of singular values of the linearization. Nonlinear Analysis, Theory, Methods and Applications, 44(8), 1057-1085. https://doi.org/10.1016/S0362-546X(99)00322-3

Vancouver

Leonov GA, Noack A, Reitmann V. Asymptotic orbital stability conditions for flows by estimates of singular values of the linearization. Nonlinear Analysis, Theory, Methods and Applications. 2001 Jun;44(8):1057-1085. https://doi.org/10.1016/S0362-546X(99)00322-3

Author

Leonov, Gennady Alekseevich ; Noack, Antje ; Reitmann, Volker. / Asymptotic orbital stability conditions for flows by estimates of singular values of the linearization. In: Nonlinear Analysis, Theory, Methods and Applications. 2001 ; Vol. 44, No. 8. pp. 1057-1085.

BibTeX

@article{1214d9613fcf486b838b7d192bb217ff,
title = "Asymptotic orbital stability conditions for flows by estimates of singular values of the linearization",
abstract = "A derivation of the stability criteria for nonlinear feedback systems is presented. A number of concrete dynamical systems were considered to demonstrate the proposed approach. The orbital stability of feedback control systems with cylindrical phase space describing various systems with angular coordinates were investigated.",
keywords = "Asymptotic orbital stability, Dynamical systems, Feedback control systems, Riemannian manifolds, Singular values",
author = "Leonov, {Gennady Alekseevich} and Antje Noack and Volker Reitmann",
note = "Copyright: Copyright 2007 Elsevier B.V., All rights reserved.",
year = "2001",
month = jun,
doi = "10.1016/S0362-546X(99)00322-3",
language = "English",
volume = "44",
pages = "1057--1085",
journal = "Nonlinear Analysis, Theory, Methods and Applications",
issn = "0362-546X",
publisher = "Elsevier",
number = "8",

}

RIS

TY - JOUR

T1 - Asymptotic orbital stability conditions for flows by estimates of singular values of the linearization

AU - Leonov, Gennady Alekseevich

AU - Noack, Antje

AU - Reitmann, Volker

N1 - Copyright: Copyright 2007 Elsevier B.V., All rights reserved.

PY - 2001/6

Y1 - 2001/6

N2 - A derivation of the stability criteria for nonlinear feedback systems is presented. A number of concrete dynamical systems were considered to demonstrate the proposed approach. The orbital stability of feedback control systems with cylindrical phase space describing various systems with angular coordinates were investigated.

AB - A derivation of the stability criteria for nonlinear feedback systems is presented. A number of concrete dynamical systems were considered to demonstrate the proposed approach. The orbital stability of feedback control systems with cylindrical phase space describing various systems with angular coordinates were investigated.

KW - Asymptotic orbital stability

KW - Dynamical systems

KW - Feedback control systems

KW - Riemannian manifolds

KW - Singular values

UR - http://www.scopus.com/inward/record.url?scp=0035371937&partnerID=8YFLogxK

U2 - 10.1016/S0362-546X(99)00322-3

DO - 10.1016/S0362-546X(99)00322-3

M3 - Article

AN - SCOPUS:0035371937

VL - 44

SP - 1057

EP - 1085

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

SN - 0362-546X

IS - 8

ER -

ID: 73407242