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

2016 Chinese Control and Decision Conference (CCDC). Institute of Electrical and Electronics Engineers Inc., 2016. p. 1041-1046.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Zhou, B & Egorov, AV 2016, Time-varying Razumikhin and Krasovskii stability theorems for time-varying delay systems. in 2016 Chinese Control and Decision Conference (CCDC). Institute of Electrical and Electronics Engineers Inc., pp. 1041-1046. https://doi.org/10.1109/CCDC.2016.7531137

APA

Zhou, B., & Egorov, A. V. (2016). Time-varying Razumikhin and Krasovskii stability theorems for time-varying delay systems. In 2016 Chinese Control and Decision Conference (CCDC) (pp. 1041-1046). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC.2016.7531137

Vancouver

Zhou B, Egorov AV. Time-varying Razumikhin and Krasovskii stability theorems for time-varying delay systems. In 2016 Chinese Control and Decision Conference (CCDC). Institute of Electrical and Electronics Engineers Inc. 2016. p. 1041-1046 https://doi.org/10.1109/CCDC.2016.7531137

Author

Zhou, B. ; Egorov, A.V. / Time-varying Razumikhin and Krasovskii stability theorems for time-varying delay systems. 2016 Chinese Control and Decision Conference (CCDC). Institute of Electrical and Electronics Engineers Inc., 2016. pp. 1041-1046

BibTeX

@inproceedings{105b8b3073004c1ab2cbcabdf6156851,
title = "Time-varying Razumikhin and Krasovskii stability theorems for time-varying delay systems",
abstract = "{\textcopyright} 2016 IEEE.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 scalar 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 an example.",
author = "B. Zhou and A.V. Egorov",
year = "2016",
doi = "10.1109/CCDC.2016.7531137",
language = "English",
isbn = "9781467397148",
pages = "1041--1046",
booktitle = "2016 Chinese Control and Decision Conference (CCDC)",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",

}

RIS

TY - GEN

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

AU - Zhou, B.

AU - Egorov, A.V.

PY - 2016

Y1 - 2016

N2 - © 2016 IEEE.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 scalar 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 an example.

AB - © 2016 IEEE.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 scalar 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 an example.

U2 - 10.1109/CCDC.2016.7531137

DO - 10.1109/CCDC.2016.7531137

M3 - Conference contribution

SN - 9781467397148

SP - 1041

EP - 1046

BT - 2016 Chinese Control and Decision Conference (CCDC)

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

ID: 7951809