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Robust Stability Analysis of Time-Varying Delay Systems. / Егоров, Алексей Валерьевич.

In: IFAC-PapersOnLine, Vol. 55, No. 36, 2022, p. 210-215.

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@article{b2630fd8f2c54c8c8ff38dd3d0091b9e,
title = "Robust Stability Analysis of Time-Varying Delay Systems",
abstract = "The generalized Myshkis problem consists in analysis of robust stability of time-delay system under variation of its parameters within a set in an infinite-dimensional space. In our paper, we consider a linear system, where the delay is a bounded function under an additional restriction on its growth rate. Some sufficient conditions of solvability of the generalized Myshkis problem are expressed in the form of quadratic convex optimization task. The new approach is based on a modification of the Lyapunov-Razumikhin method.",
author = "Егоров, {Алексей Валерьевич}",
year = "2022",
doi = "10.1016/j.ifacol.2022.11.359",
language = "English",
volume = "55",
pages = "210--215",
journal = "IFAC-PapersOnLine",
issn = "2405-8971",
publisher = "Elsevier",
number = "36",

}

RIS

TY - JOUR

T1 - Robust Stability Analysis of Time-Varying Delay Systems

AU - Егоров, Алексей Валерьевич

PY - 2022

Y1 - 2022

N2 - The generalized Myshkis problem consists in analysis of robust stability of time-delay system under variation of its parameters within a set in an infinite-dimensional space. In our paper, we consider a linear system, where the delay is a bounded function under an additional restriction on its growth rate. Some sufficient conditions of solvability of the generalized Myshkis problem are expressed in the form of quadratic convex optimization task. The new approach is based on a modification of the Lyapunov-Razumikhin method.

AB - The generalized Myshkis problem consists in analysis of robust stability of time-delay system under variation of its parameters within a set in an infinite-dimensional space. In our paper, we consider a linear system, where the delay is a bounded function under an additional restriction on its growth rate. Some sufficient conditions of solvability of the generalized Myshkis problem are expressed in the form of quadratic convex optimization task. The new approach is based on a modification of the Lyapunov-Razumikhin method.

U2 - 10.1016/j.ifacol.2022.11.359

DO - 10.1016/j.ifacol.2022.11.359

M3 - Article

VL - 55

SP - 210

EP - 215

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8971

IS - 36

ER -

ID: 119399392