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Stability analysis of some classes of nonlinear switched systems with time delay. / Aleksandrov, Alexander; Aleksandrova, Elena; Zhabko, Alexei.

в: International Journal of Systems Science, Том 48, № 10, 27.07.2017, стр. 2111-2119.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Aleksandrov, A, Aleksandrova, E & Zhabko, A 2017, 'Stability analysis of some classes of nonlinear switched systems with time delay', International Journal of Systems Science, Том. 48, № 10, стр. 2111-2119. https://doi.org/10.1080/00207721.2017.1311382

APA

Aleksandrov, A., Aleksandrova, E., & Zhabko, A. (2017). Stability analysis of some classes of nonlinear switched systems with time delay. International Journal of Systems Science, 48(10), 2111-2119. https://doi.org/10.1080/00207721.2017.1311382

Vancouver

Aleksandrov A, Aleksandrova E, Zhabko A. Stability analysis of some classes of nonlinear switched systems with time delay. International Journal of Systems Science. 2017 Июль 27;48(10):2111-2119. https://doi.org/10.1080/00207721.2017.1311382

Author

Aleksandrov, Alexander ; Aleksandrova, Elena ; Zhabko, Alexei. / Stability analysis of some classes of nonlinear switched systems with time delay. в: International Journal of Systems Science. 2017 ; Том 48, № 10. стр. 2111-2119.

BibTeX

@article{52e458c3e2ed4aa8a68f28621ff85db9,
title = "Stability analysis of some classes of nonlinear switched systems with time delay",
abstract = "Stability of certain classes of nonlinear time-delay switched systems is studied. For the corresponding families of subsystems, conditions of the existence of common Lyapunov–Razumikhin functions are found. The fulfilment of these conditions provides the asymptotic stability of the zero solutions of the considered hybrid systems for any switching law and for any nonnegative delay. Some examples are presented to demonstrate the effectiveness of the obtained results.",
keywords = "Lyapunov methods, nonlinear systems, Stability, switching systems, time-delay systems",
author = "Alexander Aleksandrov and Elena Aleksandrova and Alexei Zhabko",
year = "2017",
month = jul,
day = "27",
doi = "10.1080/00207721.2017.1311382",
language = "English",
volume = "48",
pages = "2111--2119",
journal = "International Journal of Systems Science",
issn = "0020-7721",
publisher = "Taylor & Francis",
number = "10",

}

RIS

TY - JOUR

T1 - Stability analysis of some classes of nonlinear switched systems with time delay

AU - Aleksandrov, Alexander

AU - Aleksandrova, Elena

AU - Zhabko, Alexei

PY - 2017/7/27

Y1 - 2017/7/27

N2 - Stability of certain classes of nonlinear time-delay switched systems is studied. For the corresponding families of subsystems, conditions of the existence of common Lyapunov–Razumikhin functions are found. The fulfilment of these conditions provides the asymptotic stability of the zero solutions of the considered hybrid systems for any switching law and for any nonnegative delay. Some examples are presented to demonstrate the effectiveness of the obtained results.

AB - Stability of certain classes of nonlinear time-delay switched systems is studied. For the corresponding families of subsystems, conditions of the existence of common Lyapunov–Razumikhin functions are found. The fulfilment of these conditions provides the asymptotic stability of the zero solutions of the considered hybrid systems for any switching law and for any nonnegative delay. Some examples are presented to demonstrate the effectiveness of the obtained results.

KW - Lyapunov methods

KW - nonlinear systems

KW - Stability

KW - switching systems

KW - time-delay systems

UR - http://www.scopus.com/inward/record.url?scp=85017199262&partnerID=8YFLogxK

U2 - 10.1080/00207721.2017.1311382

DO - 10.1080/00207721.2017.1311382

M3 - Article

AN - SCOPUS:85017199262

VL - 48

SP - 2111

EP - 2119

JO - International Journal of Systems Science

JF - International Journal of Systems Science

SN - 0020-7721

IS - 10

ER -

ID: 9173566