Title

Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems

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

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