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Frequency-Domain Criterion for the Global Stability of Dynamical Systems with Prandtl Hysteresis Operator. / Leonov, G. A.; Aleksandrov, K. D.

In: Vestnik St. Petersburg University: Mathematics, Vol. 51, No. 1, 01.01.2018, p. 77-81.

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

Harvard

Leonov, GA & Aleksandrov, KD 2018, 'Frequency-Domain Criterion for the Global Stability of Dynamical Systems with Prandtl Hysteresis Operator', Vestnik St. Petersburg University: Mathematics, vol. 51, no. 1, pp. 77-81. https://doi.org/10.3103/S1063454118010077

APA

Leonov, G. A., & Aleksandrov, K. D. (2018). Frequency-Domain Criterion for the Global Stability of Dynamical Systems with Prandtl Hysteresis Operator. Vestnik St. Petersburg University: Mathematics, 51(1), 77-81. https://doi.org/10.3103/S1063454118010077

Vancouver

Leonov GA, Aleksandrov KD. Frequency-Domain Criterion for the Global Stability of Dynamical Systems with Prandtl Hysteresis Operator. Vestnik St. Petersburg University: Mathematics. 2018 Jan 1;51(1):77-81. https://doi.org/10.3103/S1063454118010077

Author

Leonov, G. A. ; Aleksandrov, K. D. / Frequency-Domain Criterion for the Global Stability of Dynamical Systems with Prandtl Hysteresis Operator. In: Vestnik St. Petersburg University: Mathematics. 2018 ; Vol. 51, No. 1. pp. 77-81.

BibTeX

@article{2593bde84d4943479077d25491fd7dd9,
title = "Frequency-Domain Criterion for the Global Stability of Dynamical Systems with Prandtl Hysteresis Operator",
abstract = "In the present paper, dynamical systems with Prandtl hysteresis operator are considered. For the class of dynamical systems under consideration, a frequency-domain global stability criterion is formulated and proved. For a second-order dynamical system with Prandtl operator, we demonstrate the advantage of the obtained criterion as compared to the well-known criterion derived by Logemann and Ryan.",
keywords = "dynamical systems, frequency-domain stability criteria, hysteresis, Prandtl operator, stop operator",
author = "Leonov, {G. A.} and Aleksandrov, {K. D.}",
note = "Publisher Copyright: {\textcopyright} 2018, Allerton Press, Inc.",
year = "2018",
month = jan,
day = "1",
doi = "10.3103/S1063454118010077",
language = "English",
volume = "51",
pages = "77--81",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Frequency-Domain Criterion for the Global Stability of Dynamical Systems with Prandtl Hysteresis Operator

AU - Leonov, G. A.

AU - Aleksandrov, K. D.

N1 - Publisher Copyright: © 2018, Allerton Press, Inc.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - In the present paper, dynamical systems with Prandtl hysteresis operator are considered. For the class of dynamical systems under consideration, a frequency-domain global stability criterion is formulated and proved. For a second-order dynamical system with Prandtl operator, we demonstrate the advantage of the obtained criterion as compared to the well-known criterion derived by Logemann and Ryan.

AB - In the present paper, dynamical systems with Prandtl hysteresis operator are considered. For the class of dynamical systems under consideration, a frequency-domain global stability criterion is formulated and proved. For a second-order dynamical system with Prandtl operator, we demonstrate the advantage of the obtained criterion as compared to the well-known criterion derived by Logemann and Ryan.

KW - dynamical systems

KW - frequency-domain stability criteria

KW - hysteresis

KW - Prandtl operator

KW - stop operator

UR - http://www.scopus.com/inward/record.url?scp=85045077199&partnerID=8YFLogxK

U2 - 10.3103/S1063454118010077

DO - 10.3103/S1063454118010077

M3 - Article

AN - SCOPUS:85045077199

VL - 51

SP - 77

EP - 81

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 1

ER -

ID: 86493972