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Popov-like criterion for the complex-variable systems. / Lipkovich, M. M.; Fradkov, A. L.

в: IFAC-PapersOnLine, Том 50, № 1, 2017, стр. 8157-8162.

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

Harvard

Lipkovich, MM & Fradkov, AL 2017, 'Popov-like criterion for the complex-variable systems', IFAC-PapersOnLine, Том. 50, № 1, стр. 8157-8162. https://doi.org/10.1016/j.ifacol.2017.08.1262

APA

Lipkovich, M. M., & Fradkov, A. L. (2017). Popov-like criterion for the complex-variable systems. IFAC-PapersOnLine, 50(1), 8157-8162. https://doi.org/10.1016/j.ifacol.2017.08.1262

Vancouver

Lipkovich MM, Fradkov AL. Popov-like criterion for the complex-variable systems. IFAC-PapersOnLine. 2017;50(1):8157-8162. https://doi.org/10.1016/j.ifacol.2017.08.1262

Author

Lipkovich, M. M. ; Fradkov, A. L. / Popov-like criterion for the complex-variable systems. в: IFAC-PapersOnLine. 2017 ; Том 50, № 1. стр. 8157-8162.

BibTeX

@article{ad0a3f11969d4f4bb36e00a8c42d3abd,
title = "Popov-like criterion for the complex-variable systems",
abstract = "A frequency-domain absolute stability conditions for complex-valued Lurie systems with several nonholonomic nonlinearities is given. Graphs of nonlinearities belong to the complex analog of sector. Obtained conditions are sufficient for existence of a Popov-like Lyapunov function from the class {"}quadratic form plus real part of integral of nonlinearity{"}. Conditions can be viewed as a generalization of Popov criterion to the complex case.The proof is based on the seminal Kalman-Yakobovich-Popov lemma (KYP-lemma) which also holds for the complex case.Obtained stability criterion applied to stability analysis of complex-valued convolutional neural network (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.",
keywords = "Absolute stability, Lyapunov function, complex variables, frequency domains, nonlinear systems, nonlinearity, LYAPUNOV FUNCTION, CIRCLE CRITERION, STABILITY, EXISTENCE",
author = "Lipkovich, {M. M.} and Fradkov, {A. L.}",
year = "2017",
doi = "10.1016/j.ifacol.2017.08.1262",
language = "Английский",
volume = "50",
pages = "8157--8162",
journal = "IFAC-PapersOnLine",
issn = "2405-8963",
publisher = "Elsevier",
number = "1",
note = "null ; Conference date: 09-07-2017 Through 14-07-2017",

}

RIS

TY - JOUR

T1 - Popov-like criterion for the complex-variable systems

AU - Lipkovich, M. M.

AU - Fradkov, A. L.

PY - 2017

Y1 - 2017

N2 - A frequency-domain absolute stability conditions for complex-valued Lurie systems with several nonholonomic nonlinearities is given. Graphs of nonlinearities belong to the complex analog of sector. Obtained conditions are sufficient for existence of a Popov-like Lyapunov function from the class "quadratic form plus real part of integral of nonlinearity". Conditions can be viewed as a generalization of Popov criterion to the complex case.The proof is based on the seminal Kalman-Yakobovich-Popov lemma (KYP-lemma) which also holds for the complex case.Obtained stability criterion applied to stability analysis of complex-valued convolutional neural network (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

AB - A frequency-domain absolute stability conditions for complex-valued Lurie systems with several nonholonomic nonlinearities is given. Graphs of nonlinearities belong to the complex analog of sector. Obtained conditions are sufficient for existence of a Popov-like Lyapunov function from the class "quadratic form plus real part of integral of nonlinearity". Conditions can be viewed as a generalization of Popov criterion to the complex case.The proof is based on the seminal Kalman-Yakobovich-Popov lemma (KYP-lemma) which also holds for the complex case.Obtained stability criterion applied to stability analysis of complex-valued convolutional neural network (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

KW - Absolute stability

KW - Lyapunov function

KW - complex variables

KW - frequency domains

KW - nonlinear systems

KW - nonlinearity

KW - LYAPUNOV FUNCTION

KW - CIRCLE CRITERION

KW - STABILITY

KW - EXISTENCE

UR - http://www.scopus.com/inward/record.url?scp=85031777811&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2017.08.1262

DO - 10.1016/j.ifacol.2017.08.1262

M3 - статья

AN - SCOPUS:85031777811

VL - 50

SP - 8157

EP - 8162

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8963

IS - 1

Y2 - 9 July 2017 through 14 July 2017

ER -

ID: 37787410