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Estimates for weighted homogeneous delay systems: A Lyapunov-Krasovskii-Razumikhin approach. / Portilla, Gerson; Alexandrova, Irina V.; Mondie, Sabine.

2021 American Control Conference, ACC 2021. Institute of Electrical and Electronics Engineers Inc., 2021. p. 2298-2303 9483011 (Proceedings of the American Control Conference; Vol. 2021-May).

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

Harvard

Portilla, G, Alexandrova, IV & Mondie, S 2021, Estimates for weighted homogeneous delay systems: A Lyapunov-Krasovskii-Razumikhin approach. in 2021 American Control Conference, ACC 2021., 9483011, Proceedings of the American Control Conference, vol. 2021-May, Institute of Electrical and Electronics Engineers Inc., pp. 2298-2303, 2021 American Control Conference, ACC 2021, Virtual, New Orleans, United States, 25/05/21. https://doi.org/10.23919/ACC50511.2021.9483011

APA

Portilla, G., Alexandrova, I. V., & Mondie, S. (2021). Estimates for weighted homogeneous delay systems: A Lyapunov-Krasovskii-Razumikhin approach. In 2021 American Control Conference, ACC 2021 (pp. 2298-2303). [9483011] (Proceedings of the American Control Conference; Vol. 2021-May). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC50511.2021.9483011

Vancouver

Portilla G, Alexandrova IV, Mondie S. Estimates for weighted homogeneous delay systems: A Lyapunov-Krasovskii-Razumikhin approach. In 2021 American Control Conference, ACC 2021. Institute of Electrical and Electronics Engineers Inc. 2021. p. 2298-2303. 9483011. (Proceedings of the American Control Conference). https://doi.org/10.23919/ACC50511.2021.9483011

Author

Portilla, Gerson ; Alexandrova, Irina V. ; Mondie, Sabine. / Estimates for weighted homogeneous delay systems: A Lyapunov-Krasovskii-Razumikhin approach. 2021 American Control Conference, ACC 2021. Institute of Electrical and Electronics Engineers Inc., 2021. pp. 2298-2303 (Proceedings of the American Control Conference).

BibTeX

@inproceedings{df3082559cf04f3fb06a5333668b83cd,
title = "Estimates for weighted homogeneous delay systems: A Lyapunov-Krasovskii-Razumikhin approach",
abstract = "In this paper, we present estimates for solutions and for the attraction domain of the trivial solution for systems with delayed and nonlinear weighted homogeneous right-hand side of positive degree. The results are achieved via a generalization of the Lyapunov-Krasovskii functional construction presented recently for homogeneous systems with standard dilation. Along with the classical approach for the calculation of the estimates within the Lyapunov-Krasovskii framework, we develop a novel approach which combines the use of Lyapunov- Krasovskii functionals with ideas of the Razumikhin framework. More precisely, a lower bound for the functional on a special set of functions inspired by the Razumikhin condition is constructed, and an additional condition imposed on the solution of the comparison equation ensures that this bound can be used to estimate all solutions in a certain neighbourhood of the trivial one. An example shows that this approach yields less conservative estimates in comparison with the classical one.",
author = "Gerson Portilla and Alexandrova, {Irina V.} and Sabine Mondie",
note = "Publisher Copyright: {\textcopyright} 2021 American Automatic Control Council.; 2021 American Control Conference, ACC 2021 ; Conference date: 25-05-2021 Through 28-05-2021",
year = "2021",
month = may,
day = "25",
doi = "10.23919/ACC50511.2021.9483011",
language = "English",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "2298--2303",
booktitle = "2021 American Control Conference, ACC 2021",
address = "United States",

}

RIS

TY - GEN

T1 - Estimates for weighted homogeneous delay systems: A Lyapunov-Krasovskii-Razumikhin approach

AU - Portilla, Gerson

AU - Alexandrova, Irina V.

AU - Mondie, Sabine

N1 - Publisher Copyright: © 2021 American Automatic Control Council.

PY - 2021/5/25

Y1 - 2021/5/25

N2 - In this paper, we present estimates for solutions and for the attraction domain of the trivial solution for systems with delayed and nonlinear weighted homogeneous right-hand side of positive degree. The results are achieved via a generalization of the Lyapunov-Krasovskii functional construction presented recently for homogeneous systems with standard dilation. Along with the classical approach for the calculation of the estimates within the Lyapunov-Krasovskii framework, we develop a novel approach which combines the use of Lyapunov- Krasovskii functionals with ideas of the Razumikhin framework. More precisely, a lower bound for the functional on a special set of functions inspired by the Razumikhin condition is constructed, and an additional condition imposed on the solution of the comparison equation ensures that this bound can be used to estimate all solutions in a certain neighbourhood of the trivial one. An example shows that this approach yields less conservative estimates in comparison with the classical one.

AB - In this paper, we present estimates for solutions and for the attraction domain of the trivial solution for systems with delayed and nonlinear weighted homogeneous right-hand side of positive degree. The results are achieved via a generalization of the Lyapunov-Krasovskii functional construction presented recently for homogeneous systems with standard dilation. Along with the classical approach for the calculation of the estimates within the Lyapunov-Krasovskii framework, we develop a novel approach which combines the use of Lyapunov- Krasovskii functionals with ideas of the Razumikhin framework. More precisely, a lower bound for the functional on a special set of functions inspired by the Razumikhin condition is constructed, and an additional condition imposed on the solution of the comparison equation ensures that this bound can be used to estimate all solutions in a certain neighbourhood of the trivial one. An example shows that this approach yields less conservative estimates in comparison with the classical one.

UR - http://www.scopus.com/inward/record.url?scp=85108103756&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/48781a18-8229-3ce5-8f25-38d8ce797419/

U2 - 10.23919/ACC50511.2021.9483011

DO - 10.23919/ACC50511.2021.9483011

M3 - Conference contribution

AN - SCOPUS:85108103756

T3 - Proceedings of the American Control Conference

SP - 2298

EP - 2303

BT - 2021 American Control Conference, ACC 2021

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2021 American Control Conference, ACC 2021

Y2 - 25 May 2021 through 28 May 2021

ER -

ID: 85683601