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Stability analysis and estimation of the attraction domain for a class of hybrid nonlinear systems. / Aleksandrov, Alexander Yu; Aleksandrova, Elena B.; Platonov, Alexey V.; Dai, Guiping.

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. 26-29 7342044 (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 › peer-review

Harvard

Aleksandrov, AY, Aleksandrova, EB, Platonov, AV & Dai, G 2015, Stability analysis and estimation of the attraction domain for a class of hybrid nonlinear systems. in LA Petrosyan & AP Zhabko (eds), 2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings., 7342044, 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. 26-29, 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.2015.7342044, https://doi.org/10.1109/SCP.2015.7342044

APA

Aleksandrov, A. Y., Aleksandrova, E. B., Platonov, A. V., & Dai, G. (2015). Stability analysis and estimation of the attraction domain for a class of hybrid nonlinear systems. 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. 26-29). [7342044] (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.2015.7342044, https://doi.org/10.1109/SCP.2015.7342044

Vancouver

Aleksandrov AY, Aleksandrova EB, Platonov AV, Dai G. Stability analysis and estimation of the attraction domain for a class of hybrid nonlinear systems. 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. 26-29. 7342044. (2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings). https://doi.org/10.1109/SCP.2015.7342044, https://doi.org/10.1109/SCP.2015.7342044

Author

Aleksandrov, Alexander Yu ; Aleksandrova, Elena B. ; Platonov, Alexey V. ; Dai, Guiping. / Stability analysis and estimation of the attraction domain for a class of hybrid nonlinear systems. 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. 26-29 (2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings).

BibTeX

@inproceedings{6fbd7efeb5fb487ba1fced5b488a5090,
title = "Stability analysis and estimation of the attraction domain for a class of hybrid nonlinear systems",
abstract = "A switched system generated by the family of homogeneous subsystems with homogeneity orders less than one is studied. It is assumed that the zero solution of each subsystem is asymptotically stable. On the basis of the dwell-time approach, conditions on switching law are determined under which a given spherical neighborhood of the origin is contained in the attraction domain of the zero solution of the corresponding hybrid system.",
keywords = "Asymptotic stability, Lyapunov methods, Nonlinear systems, Stability criteria, Switched systems, Switches",
author = "Aleksandrov, {Alexander Yu} and Aleksandrova, {Elena B.} and Platonov, {Alexey V.} and Guiping Dai",
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.2015.7342044",
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 = "26--29",
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 - Stability analysis and estimation of the attraction domain for a class of hybrid nonlinear systems

AU - Aleksandrov, Alexander Yu

AU - Aleksandrova, Elena B.

AU - Platonov, Alexey V.

AU - Dai, Guiping

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

PY - 2015/11/30

Y1 - 2015/11/30

N2 - A switched system generated by the family of homogeneous subsystems with homogeneity orders less than one is studied. It is assumed that the zero solution of each subsystem is asymptotically stable. On the basis of the dwell-time approach, conditions on switching law are determined under which a given spherical neighborhood of the origin is contained in the attraction domain of the zero solution of the corresponding hybrid system.

AB - A switched system generated by the family of homogeneous subsystems with homogeneity orders less than one is studied. It is assumed that the zero solution of each subsystem is asymptotically stable. On the basis of the dwell-time approach, conditions on switching law are determined under which a given spherical neighborhood of the origin is contained in the attraction domain of the zero solution of the corresponding hybrid system.

KW - Asymptotic stability

KW - Lyapunov methods

KW - Nonlinear systems

KW - Stability criteria

KW - Switched systems

KW - Switches

UR - http://www.scopus.com/inward/record.url?scp=84960145991&partnerID=8YFLogxK

U2 - 10.1109/SCP.2015.7342044

DO - 10.1109/SCP.2015.7342044

M3 - Conference contribution

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

SP - 26

EP - 29

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: 3981433