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Razumikhin and Krasovskii stability theorems for time-varying time-delay systems. / Zhou, B.; Egorov, A.V.

In: Automatica, Vol. 71, 2016, p. 281-291.

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

Harvard

Zhou, B & Egorov, AV 2016, 'Razumikhin and Krasovskii stability theorems for time-varying time-delay systems', Automatica, vol. 71, pp. 281-291. https://doi.org/10.1016/j.automatica.2016.04.048

APA

Zhou, B., & Egorov, A. V. (2016). Razumikhin and Krasovskii stability theorems for time-varying time-delay systems. Automatica, 71, 281-291. https://doi.org/10.1016/j.automatica.2016.04.048

Vancouver

Zhou B, Egorov AV. Razumikhin and Krasovskii stability theorems for time-varying time-delay systems. Automatica. 2016;71:281-291. https://doi.org/10.1016/j.automatica.2016.04.048

Author

Zhou, B. ; Egorov, A.V. / Razumikhin and Krasovskii stability theorems for time-varying time-delay systems. In: Automatica. 2016 ; Vol. 71. pp. 281-291.

BibTeX

@article{b947da9989324752b3571614b7e3b9a3,
title = "Razumikhin and Krasovskii stability theorems for time-varying time-delay systems",
abstract = "{\textcopyright} 2016 Elsevier Ltd. All rights reserved.The main results of the paper are generalizations of the Razumikhin and of the Krasovskii classical stability theorems for stability analysis of time-varying time-delay systems. The condition of negativity of the time-derivative of Razumikhin functions and Krasovskii functionals is weakened. This is achieved by using the notion and properties of uniformly stable functions. We also show how to apply the results to the stability analysis of linear time-varying time-delay systems of retarded type. Both the system matrices and time-delays are allowed to be time-varying. Some constructive sufficient stability conditions are obtained and their effectiveness is demonstrated by some examples.",
author = "B. Zhou and A.V. Egorov",
year = "2016",
doi = "10.1016/j.automatica.2016.04.048",
language = "English",
volume = "71",
pages = "281--291",
journal = "Automatica",
issn = "0005-1098",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Razumikhin and Krasovskii stability theorems for time-varying time-delay systems

AU - Zhou, B.

AU - Egorov, A.V.

PY - 2016

Y1 - 2016

N2 - © 2016 Elsevier Ltd. All rights reserved.The main results of the paper are generalizations of the Razumikhin and of the Krasovskii classical stability theorems for stability analysis of time-varying time-delay systems. The condition of negativity of the time-derivative of Razumikhin functions and Krasovskii functionals is weakened. This is achieved by using the notion and properties of uniformly stable functions. We also show how to apply the results to the stability analysis of linear time-varying time-delay systems of retarded type. Both the system matrices and time-delays are allowed to be time-varying. Some constructive sufficient stability conditions are obtained and their effectiveness is demonstrated by some examples.

AB - © 2016 Elsevier Ltd. All rights reserved.The main results of the paper are generalizations of the Razumikhin and of the Krasovskii classical stability theorems for stability analysis of time-varying time-delay systems. The condition of negativity of the time-derivative of Razumikhin functions and Krasovskii functionals is weakened. This is achieved by using the notion and properties of uniformly stable functions. We also show how to apply the results to the stability analysis of linear time-varying time-delay systems of retarded type. Both the system matrices and time-delays are allowed to be time-varying. Some constructive sufficient stability conditions are obtained and their effectiveness is demonstrated by some examples.

U2 - 10.1016/j.automatica.2016.04.048

DO - 10.1016/j.automatica.2016.04.048

M3 - Article

VL - 71

SP - 281

EP - 291

JO - Automatica

JF - Automatica

SN - 0005-1098

ER -

ID: 7951793