Estimates for solutions of homogeneous time-delay systems: Comparison of Lyapunov-Krasovskii and Lyapunov-Razumikhin techniques

Autor:	Portilla, Gerson, Alexandrova, Irina, Mondié, Sabine, Zhabko, Alexey
Rok vydání:	2021
Předmět:	Electrical Engineering and Systems Science - Systems and Control Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	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. We compare both approaches and discuss the illustrative examples. Comment: This paper has been submitted to International Journal of Control
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.10139 Zobrazit plný text záznamu View this record from Arxiv