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Delayed feedback stabilization of unstable equilibria. / Leonov, G. A.; Shumafov, M. M.; Kuznetsov, N. V.

19th IFAC World Congress IFAC 2014, Proceedings. ред. / Edward Boje; Xiaohua Xia. International Federation of Automatic Control, 2014. стр. 6818-6825 (IFAC Proceedings Volumes (IFAC-PapersOnline); Том 19).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

Harvard

Leonov, GA, Shumafov, MM & Kuznetsov, NV 2014, Delayed feedback stabilization of unstable equilibria. в E Boje & X Xia (ред.), 19th IFAC World Congress IFAC 2014, Proceedings. IFAC Proceedings Volumes (IFAC-PapersOnline), Том. 19, International Federation of Automatic Control, стр. 6818-6825, 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014, Cape Town, Южно-Африканская Республика, 24/08/14. https://doi.org/10.3182/20140824-6-za-1003.02458

APA

Leonov, G. A., Shumafov, M. M., & Kuznetsov, N. V. (2014). Delayed feedback stabilization of unstable equilibria. в E. Boje, & X. Xia (Ред.), 19th IFAC World Congress IFAC 2014, Proceedings (стр. 6818-6825). (IFAC Proceedings Volumes (IFAC-PapersOnline); Том 19). International Federation of Automatic Control. https://doi.org/10.3182/20140824-6-za-1003.02458

Vancouver

Leonov GA, Shumafov MM, Kuznetsov NV. Delayed feedback stabilization of unstable equilibria. в Boje E, Xia X, Редакторы, 19th IFAC World Congress IFAC 2014, Proceedings. International Federation of Automatic Control. 2014. стр. 6818-6825. (IFAC Proceedings Volumes (IFAC-PapersOnline)). https://doi.org/10.3182/20140824-6-za-1003.02458

Author

Leonov, G. A. ; Shumafov, M. M. ; Kuznetsov, N. V. / Delayed feedback stabilization of unstable equilibria. 19th IFAC World Congress IFAC 2014, Proceedings. Редактор / Edward Boje ; Xiaohua Xia. International Federation of Automatic Control, 2014. стр. 6818-6825 (IFAC Proceedings Volumes (IFAC-PapersOnline)).

BibTeX

@inproceedings{46935b2099de41a5b00b24fedbd599e2,
title = "Delayed feedback stabilization of unstable equilibria",
abstract = "Analytical results of stabilizing of unstable equilibria of two- and three-dimensional linear systems are presented. The stabilization method is based on time-delayed feedback. Effective necessary and/or sufficient conditions for stabilizing the considered systems in terms of its parameters are obtained. The potential of delayed state and output feedback controls is shown. The theorems proved show that such a delayed feedback approach allows one to extend the possibilities available with static time-invariant state and output feedbacks for stabilizability of unstable linear time-invariant controllable systems. It is used two types of time-delayed feedback: conventional and by Pyragas' ones. A comparison of the stabilizability domains via both types of feedback is given.",
keywords = "Asymptotic stability, Delayed feedback control, Equilibrium, Linear controllable system, Stabilization",
author = "Leonov, {G. A.} and Shumafov, {M. M.} and Kuznetsov, {N. V.}",
note = "Publisher Copyright: {\textcopyright} IFAC.; 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 ; Conference date: 24-08-2014 Through 29-08-2014",
year = "2014",
doi = "10.3182/20140824-6-za-1003.02458",
language = "English",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
publisher = "International Federation of Automatic Control",
pages = "6818--6825",
editor = "Edward Boje and Xiaohua Xia",
booktitle = "19th IFAC World Congress IFAC 2014, Proceedings",
address = "Austria",

}

RIS

TY - GEN

T1 - Delayed feedback stabilization of unstable equilibria

AU - Leonov, G. A.

AU - Shumafov, M. M.

AU - Kuznetsov, N. V.

N1 - Publisher Copyright: © IFAC.

PY - 2014

Y1 - 2014

N2 - Analytical results of stabilizing of unstable equilibria of two- and three-dimensional linear systems are presented. The stabilization method is based on time-delayed feedback. Effective necessary and/or sufficient conditions for stabilizing the considered systems in terms of its parameters are obtained. The potential of delayed state and output feedback controls is shown. The theorems proved show that such a delayed feedback approach allows one to extend the possibilities available with static time-invariant state and output feedbacks for stabilizability of unstable linear time-invariant controllable systems. It is used two types of time-delayed feedback: conventional and by Pyragas' ones. A comparison of the stabilizability domains via both types of feedback is given.

AB - Analytical results of stabilizing of unstable equilibria of two- and three-dimensional linear systems are presented. The stabilization method is based on time-delayed feedback. Effective necessary and/or sufficient conditions for stabilizing the considered systems in terms of its parameters are obtained. The potential of delayed state and output feedback controls is shown. The theorems proved show that such a delayed feedback approach allows one to extend the possibilities available with static time-invariant state and output feedbacks for stabilizability of unstable linear time-invariant controllable systems. It is used two types of time-delayed feedback: conventional and by Pyragas' ones. A comparison of the stabilizability domains via both types of feedback is given.

KW - Asymptotic stability

KW - Delayed feedback control

KW - Equilibrium

KW - Linear controllable system

KW - Stabilization

UR - http://www.scopus.com/inward/record.url?scp=84929773473&partnerID=8YFLogxK

U2 - 10.3182/20140824-6-za-1003.02458

DO - 10.3182/20140824-6-za-1003.02458

M3 - Conference contribution

T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)

SP - 6818

EP - 6825

BT - 19th IFAC World Congress IFAC 2014, Proceedings

A2 - Boje, Edward

A2 - Xia, Xiaohua

PB - International Federation of Automatic Control

T2 - 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014

Y2 - 24 August 2014 through 29 August 2014

ER -

ID: 7030823