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On the Stability Analysis of Equations with Bounded Time-Varying Delay. / Egorov, Alexey.

In: IFAC-PapersOnLine, Vol. 52, No. 18, 09.2019, p. 85-90.

Research output: Contribution to journal › Conference article › peer-review

Harvard

Egorov, A 2019, 'On the Stability Analysis of Equations with Bounded Time-Varying Delay', IFAC-PapersOnLine, vol. 52, no. 18, pp. 85-90. https://doi.org/10.1016/j.ifacol.2019.12.211

APA

Egorov, A. (2019). On the Stability Analysis of Equations with Bounded Time-Varying Delay. IFAC-PapersOnLine, 52(18), 85-90. https://doi.org/10.1016/j.ifacol.2019.12.211

Vancouver

Egorov A. On the Stability Analysis of Equations with Bounded Time-Varying Delay. IFAC-PapersOnLine. 2019 Sep;52(18):85-90. https://doi.org/10.1016/j.ifacol.2019.12.211

Author

Egorov, Alexey. / On the Stability Analysis of Equations with Bounded Time-Varying Delay. In: IFAC-PapersOnLine. 2019 ; Vol. 52, No. 18. pp. 85-90.

BibTeX

@article{b7fa4d0b24a94de19f643b5f6be2f359,
title = "On the Stability Analysis of Equations with Bounded Time-Varying Delay",
abstract = "The paper is devoted to a generalization of the Myshkis's 3/2 stability theorem. This theorem gives an exact stability boundary for a scalar equation with a real parameter and an arbitrary delay, which is bounded by a prescribed value. In our paper, we consider the equation with complex parameter that opens up a direct opportunity for the analysis of systems of several equations. Via the Razumikhin approach, a stability region (not necessarily exact) is obtained, it is shown that its boundary can be expressed in radicals, and in the limit case the result coincides with the one of Myshkis.",
keywords = "linear systems, Myshkis theorem, Razumikhin approach, stability analysis, time delay, time-varying systems",
author = "Alexey Egorov",
year = "2019",
month = sep,
doi = "10.1016/j.ifacol.2019.12.211",
language = "English",
volume = "52",
pages = "85--90",
journal = "IFAC-PapersOnLine",
issn = "2405-8971",
publisher = "Elsevier",
number = "18",
note = "15th IFAC Workshop on Time Delay Systems (TDS) jointly held with the 7th IFAC Symposium on System Structure and Control (SSSC) ; Conference date: 09-09-2019 Through 11-09-2019",

}

RIS

TY - JOUR

T1 - On the Stability Analysis of Equations with Bounded Time-Varying Delay

AU - Egorov, Alexey

PY - 2019/9

Y1 - 2019/9

N2 - The paper is devoted to a generalization of the Myshkis's 3/2 stability theorem. This theorem gives an exact stability boundary for a scalar equation with a real parameter and an arbitrary delay, which is bounded by a prescribed value. In our paper, we consider the equation with complex parameter that opens up a direct opportunity for the analysis of systems of several equations. Via the Razumikhin approach, a stability region (not necessarily exact) is obtained, it is shown that its boundary can be expressed in radicals, and in the limit case the result coincides with the one of Myshkis.

AB - The paper is devoted to a generalization of the Myshkis's 3/2 stability theorem. This theorem gives an exact stability boundary for a scalar equation with a real parameter and an arbitrary delay, which is bounded by a prescribed value. In our paper, we consider the equation with complex parameter that opens up a direct opportunity for the analysis of systems of several equations. Via the Razumikhin approach, a stability region (not necessarily exact) is obtained, it is shown that its boundary can be expressed in radicals, and in the limit case the result coincides with the one of Myshkis.

KW - linear systems

KW - Myshkis theorem

KW - Razumikhin approach

KW - stability analysis

KW - time delay

KW - time-varying systems

UR - http://www.scopus.com/inward/record.url?scp=85081305154&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2019.12.211

DO - 10.1016/j.ifacol.2019.12.211

M3 - Conference article

AN - SCOPUS:85081305154

VL - 52

SP - 85

EP - 90

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8971

IS - 18

T2 - 15th IFAC Workshop on Time Delay Systems (TDS) jointly held with the 7th IFAC Symposium on System Structure and Control (SSSC)

Y2 - 9 September 2019 through 11 September 2019

ER -

ID: 53452034