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On the asymptotic stability with respect to a part of variables of solutions of nonlinear systems with delay. / Aleksandrov, A.Yu.; Aleksandrova, E.B.; Zhabko, A.P.

Proc of the Int. conference "Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), 2016 International Conference". Institute of Electrical and Electronics Engineers Inc., 2016.

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

Harvard

Aleksandrov, AY, Aleksandrova, EB & Zhabko, AP 2016, On the asymptotic stability with respect to a part of variables of solutions of nonlinear systems with delay. in Proc of the Int. conference "Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), 2016 International Conference". Institute of Electrical and Electronics Engineers Inc., Устойчивость и колебания нелинейных систем управления, Москва, Russian Federation, 1/06/16.

APA

Aleksandrov, A. Y., Aleksandrova, E. B., & Zhabko, A. P. (2016). On the asymptotic stability with respect to a part of variables of solutions of nonlinear systems with delay. In Proc of the Int. conference "Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), 2016 International Conference" Institute of Electrical and Electronics Engineers Inc..

Vancouver

Aleksandrov AY, Aleksandrova EB, Zhabko AP. On the asymptotic stability with respect to a part of variables of solutions of nonlinear systems with delay. In Proc of the Int. conference "Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), 2016 International Conference". Institute of Electrical and Electronics Engineers Inc. 2016

Author

Aleksandrov, A.Yu. ; Aleksandrova, E.B. ; Zhabko, A.P. / On the asymptotic stability with respect to a part of variables of solutions of nonlinear systems with delay. Proc of the Int. conference "Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), 2016 International Conference". Institute of Electrical and Electronics Engineers Inc., 2016.

BibTeX

@inproceedings{edd8043c775c483ba3543d900e93360c,
title = "On the asymptotic stability with respect to a part of variables of solutions of nonlinear systems with delay",
abstract = "A class of nonlinear time-delay systems is studied. With the aid of the Lyapunov direct method and the Razumikhin approach, conditions are found under which one can guarantee that the zero solutions of the considered systems are stable with respect to all variables and asymptotically stable with respect to a part of variables. An example is presented to demonstrate the effectiveness of the obtained results.",
keywords = "Asymptotic stability, Stability analysis, Delays, Nonlinear systems, Lyapunov methods, Control systems, Differential equations",
author = "A.Yu. Aleksandrov and E.B. Aleksandrova and A.P. Zhabko",
year = "2016",
language = "English",
isbn = "ISBN Information: INSPEC Accession Number: 16229297",
booktitle = "Proc of the Int. conference {"}Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), 2016 International Conference{"}",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",
note = "null ; Conference date: 01-06-2016 Through 03-06-2016",
url = "https://www.ipu.ru/node/35342",

}

RIS

TY - GEN

T1 - On the asymptotic stability with respect to a part of variables of solutions of nonlinear systems with delay

AU - Aleksandrov, A.Yu.

AU - Aleksandrova, E.B.

AU - Zhabko, A.P.

N1 - Conference code: XIII

PY - 2016

Y1 - 2016

N2 - A class of nonlinear time-delay systems is studied. With the aid of the Lyapunov direct method and the Razumikhin approach, conditions are found under which one can guarantee that the zero solutions of the considered systems are stable with respect to all variables and asymptotically stable with respect to a part of variables. An example is presented to demonstrate the effectiveness of the obtained results.

AB - A class of nonlinear time-delay systems is studied. With the aid of the Lyapunov direct method and the Razumikhin approach, conditions are found under which one can guarantee that the zero solutions of the considered systems are stable with respect to all variables and asymptotically stable with respect to a part of variables. An example is presented to demonstrate the effectiveness of the obtained results.

KW - Asymptotic stability

KW - Stability analysis

KW - Delays

KW - Nonlinear systems

KW - Lyapunov methods

KW - Control systems

KW - Differential equations

M3 - Conference contribution

SN - ISBN Information: INSPEC Accession Number: 16229297

BT - Proc of the Int. conference "Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), 2016 International Conference"

PB - Institute of Electrical and Electronics Engineers Inc.

Y2 - 1 June 2016 through 3 June 2016

ER -

ID: 7591592