3 papers
eess.SY2021
Lyapunov-Krasovskii functionals for some classes of nonlinear time delay systems
Gerson Portilla, Irina V. Alexandrova, Sabine Mondié
In this contribution, we study an homogeneous class of nonlinear time delay systems with time-varying perturbations. Using the Lyapunov-Krasovskii approach, we introduce a function…
eess.SY2021
Estimates for weighted homogeneous delay systems: A Lyapunov-Krasovskii-Razumikhin approach
Gerson Portilla, Irina Alexandrova, Sabine Mondié
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…
eess.SY2021
Estimates for solutions of homogeneous time-delay systems: Comparison of Lyapunov-Krasovskii and Lyapunov-Razumikhin techniques
Gerson Portilla, Irina Alexandrova, Sabine Mondié +1
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 exist…