Necessary and sufficient stability conditions for integral delay systems

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Necessary and sufficient stability conditions for integral delay systems. / Ortiz, Reynaldo; Egorov, Alexey; Mondié, Sabine.

In: International Journal of Robust and Nonlinear Control, Vol. 32, No. 6, 04.2022, p. 3152 - 3174.

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

Harvard

Ortiz, R, Egorov, A & Mondié, S 2022, 'Necessary and sufficient stability conditions for integral delay systems', International Journal of Robust and Nonlinear Control, vol. 32, no. 6, pp. 3152 - 3174. https://doi.org/10.1002/rnc.5907

APA

Ortiz, R., Egorov, A., & Mondié, S. (2022). Necessary and sufficient stability conditions for integral delay systems. International Journal of Robust and Nonlinear Control, 32(6), 3152 - 3174. https://doi.org/10.1002/rnc.5907

Vancouver

Ortiz R, Egorov A, Mondié S. Necessary and sufficient stability conditions for integral delay systems. International Journal of Robust and Nonlinear Control. 2022 Apr;32(6):3152 - 3174. https://doi.org/10.1002/rnc.5907

Author

Ortiz, Reynaldo ; Egorov, Alexey ; Mondié, Sabine. / Necessary and sufficient stability conditions for integral delay systems. In: International Journal of Robust and Nonlinear Control. 2022 ; Vol. 32, No. 6. pp. 3152 - 3174.

BibTeX

@article{1b871dbf364842aba869d6ca6567ba12,

title = "Necessary and sufficient stability conditions for integral delay systems",

abstract = "A Lyapunov–Krasovskii functional with prescribed derivative whose construction does not require the stability of the system is introduced. It leads to the presentation of stability/instability theorems. By evaluating the functional at initial conditions depending on the fundamental matrix we are able to present necessary and sufficient stability conditions expressed exclusively in terms of the delay Lyapunov matrix for integral delay systems. Some examples illustrate and validate the stability conditions.",

keywords = "functionals, integral delay systems, Lyapunov matrix, renewal equation, stability, LINEAR-SYSTEMS, EPIDEMIC MODELS, DIFFERENCE-EQUATIONS, NEUTRAL-TYPE SYSTEMS",

author = "Reynaldo Ortiz and Alexey Egorov and Sabine Mondi{\'e}",

note = "Publisher Copyright: {\textcopyright} 2021 John Wiley & Sons Ltd.",

year = "2022",

month = apr,

doi = "10.1002/rnc.5907",

language = "English",

volume = "32",

pages = "3152 -- 3174",

journal = "International Journal of Robust and Nonlinear Control",

issn = "1049-8923",

publisher = "Wiley-Blackwell",

number = "6",

}

RIS

TY - JOUR

T1 - Necessary and sufficient stability conditions for integral delay systems

AU - Ortiz, Reynaldo

AU - Egorov, Alexey

AU - Mondié, Sabine

PY - 2022/4

Y1 - 2022/4

N2 - A Lyapunov–Krasovskii functional with prescribed derivative whose construction does not require the stability of the system is introduced. It leads to the presentation of stability/instability theorems. By evaluating the functional at initial conditions depending on the fundamental matrix we are able to present necessary and sufficient stability conditions expressed exclusively in terms of the delay Lyapunov matrix for integral delay systems. Some examples illustrate and validate the stability conditions.

AB - A Lyapunov–Krasovskii functional with prescribed derivative whose construction does not require the stability of the system is introduced. It leads to the presentation of stability/instability theorems. By evaluating the functional at initial conditions depending on the fundamental matrix we are able to present necessary and sufficient stability conditions expressed exclusively in terms of the delay Lyapunov matrix for integral delay systems. Some examples illustrate and validate the stability conditions.

KW - functionals

KW - integral delay systems

KW - Lyapunov matrix

KW - renewal equation

KW - stability

KW - LINEAR-SYSTEMS

KW - EPIDEMIC MODELS

KW - DIFFERENCE-EQUATIONS

KW - NEUTRAL-TYPE SYSTEMS

UR - http://www.scopus.com/inward/record.url?scp=85119668256&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/e4604635-ae81-3509-8d50-c1207aaad4f6/

U2 - 10.1002/rnc.5907

DO - 10.1002/rnc.5907

M3 - Article

AN - SCOPUS:85119668256

VL - 32

SP - 3152

EP - 3174

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

SN - 1049-8923

IS - 6

ER -

ID: 89174408