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A stability criterion for the neutral type time-delay equation. / Egorov, A.V.

Proceedings of 2016 International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2016. 2016.

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

Harvard

Egorov, AV 2016, A stability criterion for the neutral type time-delay equation. in Proceedings of 2016 International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2016. https://doi.org/10.1109/STAB.2016.7541181

APA

Egorov, A. V. (2016). A stability criterion for the neutral type time-delay equation. In Proceedings of 2016 International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2016 https://doi.org/10.1109/STAB.2016.7541181

Vancouver

Egorov AV. A stability criterion for the neutral type time-delay equation. In Proceedings of 2016 International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2016. 2016 https://doi.org/10.1109/STAB.2016.7541181

Author

Egorov, A.V. / A stability criterion for the neutral type time-delay equation. Proceedings of 2016 International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2016. 2016.

BibTeX

@inproceedings{0ece527429fb46e4a21af92178722c9b,
title = "A stability criterion for the neutral type time-delay equation",
abstract = "{\textcopyright} 2016 IEEE.In this paper a stability criterion for the linear time-invariant neutral type equation with a single delay is presented. The criterion states that the equation is exponentially stable if and only if the delay Lyapunov matrix (this is a scalar function in the considered case) is positive at zero and achieves the maximal absolute value at this point. Based on the criterion, we obtain a sufficient stability condition for the quasi-linear neutral type equation.",
author = "A.V. Egorov",
year = "2016",
doi = "10.1109/STAB.2016.7541181",
language = "English",
isbn = "9781467399975",
booktitle = "Proceedings of 2016 International Conference {"}Stability and Oscillations of Nonlinear Control Systems{"} (Pyatnitskiy's Conference), STAB 2016",

}

RIS

TY - GEN

T1 - A stability criterion for the neutral type time-delay equation

AU - Egorov, A.V.

PY - 2016

Y1 - 2016

N2 - © 2016 IEEE.In this paper a stability criterion for the linear time-invariant neutral type equation with a single delay is presented. The criterion states that the equation is exponentially stable if and only if the delay Lyapunov matrix (this is a scalar function in the considered case) is positive at zero and achieves the maximal absolute value at this point. Based on the criterion, we obtain a sufficient stability condition for the quasi-linear neutral type equation.

AB - © 2016 IEEE.In this paper a stability criterion for the linear time-invariant neutral type equation with a single delay is presented. The criterion states that the equation is exponentially stable if and only if the delay Lyapunov matrix (this is a scalar function in the considered case) is positive at zero and achieves the maximal absolute value at this point. Based on the criterion, we obtain a sufficient stability condition for the quasi-linear neutral type equation.

U2 - 10.1109/STAB.2016.7541181

DO - 10.1109/STAB.2016.7541181

M3 - Conference contribution

SN - 9781467399975

BT - Proceedings of 2016 International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2016

ER -

ID: 7951760