Lyapunov-Krasovskii functionals for some classes of nonlinear time delay systems
Systems and Control
2021-05-11 v1 Systems and Control
Dynamical Systems
Abstract
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 functional that leads to perturbation conditions matching those obtained previously in the Razumikhin framework. The functionals are applied to the estimation of the domain of attraction and of the system solutions. An illustrative example is given.
Keywords
Cite
@article{arxiv.2105.04041,
title = {Lyapunov-Krasovskii functionals for some classes of nonlinear time delay systems},
author = {Gerson Portilla and Irina V. Alexandrova and Sabine Mondié},
journal= {arXiv preprint arXiv:2105.04041},
year = {2021}
}
Comments
Submitted for presentation in 2021 Conference on Decision and Control (CDC)