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Estimates for solutions of homogeneous time-delay systems : comparison of Lyapunov-Krasovskii and Lyapunov-Razumikhin techniques. / Portilla, Gerson; Alexandrova, Irina V.; Mondié, Sabine; Zhabko, Alexey P.

In: International Journal of Control, 2021.

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

Harvard

Portilla, G, Alexandrova, IV, Mondié, S & Zhabko, AP 2021, 'Estimates for solutions of homogeneous time-delay systems: comparison of Lyapunov-Krasovskii and Lyapunov-Razumikhin techniques', International Journal of Control. https://doi.org/10.1080/00207179.2021.1949045

APA

Portilla, G., Alexandrova, I. V., Mondié, S., & Zhabko, A. P. (2021). Estimates for solutions of homogeneous time-delay systems: comparison of Lyapunov-Krasovskii and Lyapunov-Razumikhin techniques. International Journal of Control. https://doi.org/10.1080/00207179.2021.1949045

Vancouver

Portilla G, Alexandrova IV, Mondié S, Zhabko AP. Estimates for solutions of homogeneous time-delay systems: comparison of Lyapunov-Krasovskii and Lyapunov-Razumikhin techniques. International Journal of Control. 2021. https://doi.org/10.1080/00207179.2021.1949045

Author

Portilla, Gerson ; Alexandrova, Irina V. ; Mondié, Sabine ; Zhabko, Alexey P. / Estimates for solutions of homogeneous time-delay systems : comparison of Lyapunov-Krasovskii and Lyapunov-Razumikhin techniques. In: International Journal of Control. 2021.

BibTeX

@article{2f00c76d3d42469a905669cb975de17c,
title = "Estimates for solutions of homogeneous time-delay systems: comparison of Lyapunov-Krasovskii and Lyapunov-Razumikhin techniques",
abstract = "In this contribution, the estimates for the response of time-delay systems with nonlinear homogeneous right-hand side of degree strictly greater than one are constructed. The existing results obtained via the Lyapunov--Razumikhin approach are reminded. Their proofs, revisited in the appendix, lead to explicit expressions of the involved constants. Based on a recently introduced Lyapunov–Krasovskii functional and known estimates of the domain of attraction, we present new estimates of the system response. Using the same Lyapunov function in the Lyapunov–Razumikhin approach and in construction of the Lyapunov–Krasovskii functional, we compare both approaches and discuss the illustrative examples.",
keywords = "estimates for solutions, Homogeneous time-delay systems, Lyapunov–Krasovskii functionals, ASYMPTOTIC STABILITY, FINITE-TIME, Lyapunov-Krasovskii functionals",
author = "Gerson Portilla and Alexandrova, {Irina V.} and Sabine Mondi{\'e} and Zhabko, {Alexey P.}",
note = "Publisher Copyright: {\textcopyright} 2021 Informa UK Limited, trading as Taylor & Francis Group.",
year = "2021",
doi = "10.1080/00207179.2021.1949045",
language = "English",
journal = "International Journal of Control",
issn = "0020-7179",
publisher = "Taylor & Francis",

}

RIS

TY - JOUR

T1 - Estimates for solutions of homogeneous time-delay systems

T2 - comparison of Lyapunov-Krasovskii and Lyapunov-Razumikhin techniques

AU - Portilla, Gerson

AU - Alexandrova, Irina V.

AU - Mondié, Sabine

AU - Zhabko, Alexey P.

N1 - Publisher Copyright: © 2021 Informa UK Limited, trading as Taylor & Francis Group.

PY - 2021

Y1 - 2021

N2 - In this contribution, the estimates for the response of time-delay systems with nonlinear homogeneous right-hand side of degree strictly greater than one are constructed. The existing results obtained via the Lyapunov--Razumikhin approach are reminded. Their proofs, revisited in the appendix, lead to explicit expressions of the involved constants. Based on a recently introduced Lyapunov–Krasovskii functional and known estimates of the domain of attraction, we present new estimates of the system response. Using the same Lyapunov function in the Lyapunov–Razumikhin approach and in construction of the Lyapunov–Krasovskii functional, we compare both approaches and discuss the illustrative examples.

AB - In this contribution, the estimates for the response of time-delay systems with nonlinear homogeneous right-hand side of degree strictly greater than one are constructed. The existing results obtained via the Lyapunov--Razumikhin approach are reminded. Their proofs, revisited in the appendix, lead to explicit expressions of the involved constants. Based on a recently introduced Lyapunov–Krasovskii functional and known estimates of the domain of attraction, we present new estimates of the system response. Using the same Lyapunov function in the Lyapunov–Razumikhin approach and in construction of the Lyapunov–Krasovskii functional, we compare both approaches and discuss the illustrative examples.

KW - estimates for solutions

KW - Homogeneous time-delay systems

KW - Lyapunov–Krasovskii functionals

KW - ASYMPTOTIC STABILITY

KW - FINITE-TIME

KW - Lyapunov-Krasovskii functionals

UR - http://www.scopus.com/inward/record.url?scp=85098952813&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/c3719ee7-13ba-3895-a0ee-e030211fe80d/

U2 - 10.1080/00207179.2021.1949045

DO - 10.1080/00207179.2021.1949045

M3 - Article

AN - SCOPUS:85098952813

JO - International Journal of Control

JF - International Journal of Control

SN - 0020-7179

ER -

ID: 85683716