Delay-dependent stability of high-order neutral systems

Yanbin Zhao; Guang-Da Hu

Kybernetika (2021)

  • Volume: 57, Issue: 5, page 737-749
  • ISSN: 0023-5954

Abstract

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In this note, we are concerned with delay-dependent stability of high-order delay systems of neutral type. A bound of unstable eigenvalues of the systems is derived by the spectral radius of a nonnegative matrix. The nonnegative matrix is related to the coefficient matrices. A stability criterion is presented which is a necessary and sufficient condition for the delay-dependent stability of the systems. Based on the criterion, a numerical algorithm is provided which avoids the computation of the coefficients of the characteristic function. Under some conditions, the presented results are less conservative than those reported. A numerical example is given to illustrate the main results.

How to cite

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Zhao, Yanbin, and Hu, Guang-Da. "Delay-dependent stability of high-order neutral systems." Kybernetika 57.5 (2021): 737-749. <http://eudml.org/doc/297908>.

@article{Zhao2021,
abstract = {In this note, we are concerned with delay-dependent stability of high-order delay systems of neutral type. A bound of unstable eigenvalues of the systems is derived by the spectral radius of a nonnegative matrix. The nonnegative matrix is related to the coefficient matrices. A stability criterion is presented which is a necessary and sufficient condition for the delay-dependent stability of the systems. Based on the criterion, a numerical algorithm is provided which avoids the computation of the coefficients of the characteristic function. Under some conditions, the presented results are less conservative than those reported. A numerical example is given to illustrate the main results.},
author = {Zhao, Yanbin, Hu, Guang-Da},
journal = {Kybernetika},
keywords = {delay-dependent stability; high-order neutral delay systems; bound of unstable eigenvalues; argument principle; nonnegative matrix},
language = {eng},
number = {5},
pages = {737-749},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Delay-dependent stability of high-order neutral systems},
url = {http://eudml.org/doc/297908},
volume = {57},
year = {2021},
}

TY - JOUR
AU - Zhao, Yanbin
AU - Hu, Guang-Da
TI - Delay-dependent stability of high-order neutral systems
JO - Kybernetika
PY - 2021
PB - Institute of Information Theory and Automation AS CR
VL - 57
IS - 5
SP - 737
EP - 749
AB - In this note, we are concerned with delay-dependent stability of high-order delay systems of neutral type. A bound of unstable eigenvalues of the systems is derived by the spectral radius of a nonnegative matrix. The nonnegative matrix is related to the coefficient matrices. A stability criterion is presented which is a necessary and sufficient condition for the delay-dependent stability of the systems. Based on the criterion, a numerical algorithm is provided which avoids the computation of the coefficients of the characteristic function. Under some conditions, the presented results are less conservative than those reported. A numerical example is given to illustrate the main results.
LA - eng
KW - delay-dependent stability; high-order neutral delay systems; bound of unstable eigenvalues; argument principle; nonnegative matrix
UR - http://eudml.org/doc/297908
ER -

References

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