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On the stability of solutions of a class of nonlinear nonautonomous systems with delay. / Aleksandrov, Alexander Yu; Zhabko, Alexey P.

2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings. ed. / L. A. Petrosyan; A. P. Zhabko. Institute of Electrical and Electronics Engineers Inc., 2015. p. 274-276 7342121 (2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Aleksandrov, AY & Zhabko, AP 2015, On the stability of solutions of a class of nonlinear nonautonomous systems with delay. in LA Petrosyan & AP Zhabko (eds), 2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings., 7342121, 2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 274-276, International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015, St. Petersburg, Russian Federation, 5/10/15. https://doi.org/10.1109/SCP.2015.7342121, https://doi.org/10.1109/SCP.2015.7342121

APA

Aleksandrov, A. Y., & Zhabko, A. P. (2015). On the stability of solutions of a class of nonlinear nonautonomous systems with delay. In L. A. Petrosyan, & A. P. Zhabko (Eds.), 2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings (pp. 274-276). [7342121] (2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SCP.2015.7342121, https://doi.org/10.1109/SCP.2015.7342121

Vancouver

Aleksandrov AY, Zhabko AP. On the stability of solutions of a class of nonlinear nonautonomous systems with delay. In Petrosyan LA, Zhabko AP, editors, 2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2015. p. 274-276. 7342121. (2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings). https://doi.org/10.1109/SCP.2015.7342121, https://doi.org/10.1109/SCP.2015.7342121

Author

Aleksandrov, Alexander Yu ; Zhabko, Alexey P. / On the stability of solutions of a class of nonlinear nonautonomous systems with delay. 2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings. editor / L. A. Petrosyan ; A. P. Zhabko. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 274-276 (2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings).

BibTeX

@inproceedings{efc38b4427bc401793efb726b6daec69,
title = "On the stability of solutions of a class of nonlinear nonautonomous systems with delay",
abstract = "A nonlinear time-delay system with nonlinearities of a sector type and nonstationary perturbations is studied. It is assumed that the zero solution of the corresponding unperturbed delay-free system is asymptotically stable. With the aid of the Razumikhin theorem, conditions are obtained under which the perturbations do not destroy the asymptotic stability for an arbitrary continuous nonnegative and bounded delay.",
keywords = "Asymptotic stability, Circuit stability, Delays, Linear approximation, Stability criteria",
author = "Aleksandrov, {Alexander Yu} and Zhabko, {Alexey P.}",
note = "Publisher Copyright: {\textcopyright} 2015 IEEE. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.; International Conference on {"}Stability and Control Processes{"} in Memory of V.I. Zubov, SCP 2015 ; Conference date: 05-10-2015 Through 09-10-2015",
year = "2015",
month = nov,
day = "30",
doi = "10.1109/SCP.2015.7342121",
language = "English",
series = "2015 International Conference on {"}Stability and Control Processes{"} in Memory of V.I. Zubov, SCP 2015 - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "274--276",
editor = "Petrosyan, {L. A.} and Zhabko, {A. P.}",
booktitle = "2015 International Conference on {"}Stability and Control Processes{"} in Memory of V.I. Zubov, SCP 2015 - Proceedings",
address = "United States",
url = "http://www.apmath.spbu.ru/scp2015/openconf.php",

}

RIS

TY - GEN

T1 - On the stability of solutions of a class of nonlinear nonautonomous systems with delay

AU - Aleksandrov, Alexander Yu

AU - Zhabko, Alexey P.

N1 - Publisher Copyright: © 2015 IEEE. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.

PY - 2015/11/30

Y1 - 2015/11/30

N2 - A nonlinear time-delay system with nonlinearities of a sector type and nonstationary perturbations is studied. It is assumed that the zero solution of the corresponding unperturbed delay-free system is asymptotically stable. With the aid of the Razumikhin theorem, conditions are obtained under which the perturbations do not destroy the asymptotic stability for an arbitrary continuous nonnegative and bounded delay.

AB - A nonlinear time-delay system with nonlinearities of a sector type and nonstationary perturbations is studied. It is assumed that the zero solution of the corresponding unperturbed delay-free system is asymptotically stable. With the aid of the Razumikhin theorem, conditions are obtained under which the perturbations do not destroy the asymptotic stability for an arbitrary continuous nonnegative and bounded delay.

KW - Asymptotic stability

KW - Circuit stability

KW - Delays

KW - Linear approximation

KW - Stability criteria

UR - http://www.scopus.com/inward/record.url?scp=84960107541&partnerID=8YFLogxK

U2 - 10.1109/SCP.2015.7342121

DO - 10.1109/SCP.2015.7342121

M3 - Conference contribution

T3 - 2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings

SP - 274

EP - 276

BT - 2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings

A2 - Petrosyan, L. A.

A2 - Zhabko, A. P.

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015

Y2 - 5 October 2015 through 9 October 2015

ER -

ID: 3981403