Document Type
Article
Publication Date
11-1-2005
Abstract
We study the stability properties of a class of time-varying non-linear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given and posit a mild persistency of excitation condition on our given Lyapunov functions which guarantee the existence of strict ISS Lyapunov functions for our systems. Next, we provide simple direct constructions of explicit strict ISS Lyapunov functions for our systems by applying an integral smoothing method. We illustrate our constructions using a tracking problem for a rotating rigid body. © 2005 Elsevier Ltd. All rights reserved.
Publication Source (Journal or Book title)
Automatica
First Page
1973
Last Page
1978
Recommended Citation
Malisoff, M., & Mazenc, F. (2005). Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems. Automatica, 41 (11), 1973-1978. https://doi.org/10.1016/j.automatica.2005.05.015