Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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. стр. 2298-2303 9483011 (Proceedings of the American Control Conference; Том 2021-May).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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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