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Convergence conditions for some classes of nonlinear systems. / Aleksandrov, A. Yu; Александрова, Елена Борисовна.

In: Systems and Control Letters, Vol. 104, 01.06.2017, p. 72-77.

Research output: Contribution to journal › Article › peer-review

Harvard

Aleksandrov, AY & Александрова, ЕБ 2017, 'Convergence conditions for some classes of nonlinear systems', Systems and Control Letters, vol. 104, pp. 72-77. https://doi.org/10.1016/j.sysconle.2017.04.003

APA

Aleksandrov, A. Y., & Александрова, Е. Б. (2017). Convergence conditions for some classes of nonlinear systems. Systems and Control Letters, 104, 72-77. https://doi.org/10.1016/j.sysconle.2017.04.003

Vancouver

Aleksandrov AY, Александрова ЕБ. Convergence conditions for some classes of nonlinear systems. Systems and Control Letters. 2017 Jun 1;104:72-77. https://doi.org/10.1016/j.sysconle.2017.04.003

Author

Aleksandrov, A. Yu ; Александрова, Елена Борисовна. / Convergence conditions for some classes of nonlinear systems. In: Systems and Control Letters. 2017 ; Vol. 104. pp. 72-77.

BibTeX

@article{c056d2d491834867a82e4165bf781f97,
title = "Convergence conditions for some classes of nonlinear systems",
abstract = "Systems of differential equations with nonlinearities of a sector type and almost periodic perturbations are studied. With the aid of the Lyapunov direct method, conditions are found under which the considered systems admit globally asymptotically stable almost periodic solutions. Moreover, it is shown that the proposed approach permits us to derive new convergence conditions for some models of neural networks and generalized Lotka–Volterra models of population dynamics. An example is presented to demonstrate the effectiveness of the obtained results.",
keywords = "Almost periodic oscillations, Asymptotic stability, Convergence, Lyapunov functions, Nonlinear nonstationary systems, Population dynamics",
author = "Aleksandrov, {A. Yu} and Александрова, {Елена Борисовна}",
year = "2017",
month = jun,
day = "1",
doi = "10.1016/j.sysconle.2017.04.003",
language = "English",
volume = "104",
pages = "72--77",
journal = "Systems and Control Letters",
issn = "0167-6911",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Convergence conditions for some classes of nonlinear systems

AU - Aleksandrov, A. Yu

AU - Александрова, Елена Борисовна

PY - 2017/6/1

Y1 - 2017/6/1

N2 - Systems of differential equations with nonlinearities of a sector type and almost periodic perturbations are studied. With the aid of the Lyapunov direct method, conditions are found under which the considered systems admit globally asymptotically stable almost periodic solutions. Moreover, it is shown that the proposed approach permits us to derive new convergence conditions for some models of neural networks and generalized Lotka–Volterra models of population dynamics. An example is presented to demonstrate the effectiveness of the obtained results.

AB - Systems of differential equations with nonlinearities of a sector type and almost periodic perturbations are studied. With the aid of the Lyapunov direct method, conditions are found under which the considered systems admit globally asymptotically stable almost periodic solutions. Moreover, it is shown that the proposed approach permits us to derive new convergence conditions for some models of neural networks and generalized Lotka–Volterra models of population dynamics. An example is presented to demonstrate the effectiveness of the obtained results.

KW - Almost periodic oscillations

KW - Asymptotic stability

KW - Convergence

KW - Lyapunov functions

KW - Nonlinear nonstationary systems

KW - Population dynamics

UR - http://www.scopus.com/inward/record.url?scp=85018277101&partnerID=8YFLogxK

U2 - 10.1016/j.sysconle.2017.04.003

DO - 10.1016/j.sysconle.2017.04.003

M3 - Article

AN - SCOPUS:85018277101

VL - 104

SP - 72

EP - 77

JO - Systems and Control Letters

JF - Systems and Control Letters

SN - 0167-6911

ER -

ID: 9139269