Standard

Necessary stability conditions for integral delay systems. / Ortiz, Reynaldo; Valle, Saul Del; Egorov, Alexey V.; Mondie, Sabine.

In: IEEE Transactions on Automatic Control, Vol. 65, No. 10, 8913603, 10.2020, p. 4377-4384.

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

Harvard

Ortiz, R, Valle, SD, Egorov, AV & Mondie, S 2020, 'Necessary stability conditions for integral delay systems', IEEE Transactions on Automatic Control, vol. 65, no. 10, 8913603, pp. 4377-4384. https://doi.org/10.1109/TAC.2019.2955962

APA

Ortiz, R., Valle, S. D., Egorov, A. V., & Mondie, S. (2020). Necessary stability conditions for integral delay systems. IEEE Transactions on Automatic Control, 65(10), 4377-4384. [8913603]. https://doi.org/10.1109/TAC.2019.2955962

Vancouver

Ortiz R, Valle SD, Egorov AV, Mondie S. Necessary stability conditions for integral delay systems. IEEE Transactions on Automatic Control. 2020 Oct;65(10):4377-4384. 8913603. https://doi.org/10.1109/TAC.2019.2955962

Author

Ortiz, Reynaldo ; Valle, Saul Del ; Egorov, Alexey V. ; Mondie, Sabine. / Necessary stability conditions for integral delay systems. In: IEEE Transactions on Automatic Control. 2020 ; Vol. 65, No. 10. pp. 4377-4384.

BibTeX

@article{e7923fd22adc42ab9fe3202c68d418fe,
title = "Necessary stability conditions for integral delay systems",
abstract = "In this article, necessary stability conditions for integral delay systems with distributed single delay are presented. Based on new properties that connect the Lyapunov delay matrix and the fundamental matrix of this class of equations, a complete type Lyapunov-Krasovskii functional is introduced. It allows us to present necessary stability conditions in terms of the delay Lyapunov matrix. The result is illustrated by some examples.",
keywords = "Delay Lyapunov matrix, delay systems, integral delay systems, necessary stability conditions, LINEAR-SYSTEMS, Symmetric matrices, Delay systems, APPROXIMATION, DIFFERENCE-EQUATIONS, ADDITIONAL DYNAMICS, Stability criteria, Integral equations, Delays, Mathematical model, POINTWISE, FINITE SPECTRUM ASSIGNMENT",
author = "Reynaldo Ortiz and Valle, {Saul Del} and Egorov, {Alexey V.} and Sabine Mondie",
note = "Funding Information: Manuscript received May 9, 2018; revised January 30, 2019, August 18, 2019, and October 16, 2019; accepted November 15, 2019. Date of publication November 26, 2019; date of current version September 25, 2020. This work was supported by Project Conacyt A1-S-24796, Project SEP-Cinvestav 155, and Project RFBR 19-01-00146. Recommended by Associate Editor C.-Y. Kao. (Corresponding author: Sabine Mondie.) R. Ortiz, S. D. Valle, and S. Mondi{\'e} are with the Department of Automatic Control, CINVESTAV-IPN, Mexico City 07360, Mexico (e-mail: rortiz@ctrl.cinvestav.mx; sdelvalle@ctrl.cinvestav.mx; smondie @ctrl.cinvestav.mx). Publisher Copyright: {\textcopyright} 2020 Institute of Electrical and Electronics Engineers Inc.. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = oct,
doi = "10.1109/TAC.2019.2955962",
language = "English",
volume = "65",
pages = "4377--4384",
journal = "IEEE Transactions on Automatic Control",
issn = "0018-9286",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "10",

}

RIS

TY - JOUR

T1 - Necessary stability conditions for integral delay systems

AU - Ortiz, Reynaldo

AU - Valle, Saul Del

AU - Egorov, Alexey V.

AU - Mondie, Sabine

N1 - Funding Information: Manuscript received May 9, 2018; revised January 30, 2019, August 18, 2019, and October 16, 2019; accepted November 15, 2019. Date of publication November 26, 2019; date of current version September 25, 2020. This work was supported by Project Conacyt A1-S-24796, Project SEP-Cinvestav 155, and Project RFBR 19-01-00146. Recommended by Associate Editor C.-Y. Kao. (Corresponding author: Sabine Mondie.) R. Ortiz, S. D. Valle, and S. Mondié are with the Department of Automatic Control, CINVESTAV-IPN, Mexico City 07360, Mexico (e-mail: rortiz@ctrl.cinvestav.mx; sdelvalle@ctrl.cinvestav.mx; smondie @ctrl.cinvestav.mx). Publisher Copyright: © 2020 Institute of Electrical and Electronics Engineers Inc.. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/10

Y1 - 2020/10

N2 - In this article, necessary stability conditions for integral delay systems with distributed single delay are presented. Based on new properties that connect the Lyapunov delay matrix and the fundamental matrix of this class of equations, a complete type Lyapunov-Krasovskii functional is introduced. It allows us to present necessary stability conditions in terms of the delay Lyapunov matrix. The result is illustrated by some examples.

AB - In this article, necessary stability conditions for integral delay systems with distributed single delay are presented. Based on new properties that connect the Lyapunov delay matrix and the fundamental matrix of this class of equations, a complete type Lyapunov-Krasovskii functional is introduced. It allows us to present necessary stability conditions in terms of the delay Lyapunov matrix. The result is illustrated by some examples.

KW - Delay Lyapunov matrix

KW - delay systems

KW - integral delay systems

KW - necessary stability conditions

KW - LINEAR-SYSTEMS

KW - Symmetric matrices

KW - Delay systems

KW - APPROXIMATION

KW - DIFFERENCE-EQUATIONS

KW - ADDITIONAL DYNAMICS

KW - Stability criteria

KW - Integral equations

KW - Delays

KW - Mathematical model

KW - POINTWISE

KW - FINITE SPECTRUM ASSIGNMENT

UR - http://www.scopus.com/inward/record.url?scp=85092398246&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/507080cd-0b33-38d1-b989-e8f6aa8011ad/

U2 - 10.1109/TAC.2019.2955962

DO - 10.1109/TAC.2019.2955962

M3 - Article

AN - SCOPUS:85092398246

VL - 65

SP - 4377

EP - 4384

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 10

M1 - 8913603

ER -

ID: 70099165