LOCAL HALANAY’S INEQUALITY WITH APPLICATION TO FEEDBACK STABILIZATION

Document Type

Article

Publication Date

6-1-2025

Abstract

We provide a local version of an approach to proving asymptotic stability that is based on Halanay’s inequality. Our results are applicable to a family of nonlinear systems that contain state and input delays. We determine input-to-state stability inequalities when the systems contain additive uncertainty. We combine the results with an observer and a Gramian approach, to solve an output feedback stabilization problem. Our numerical examples illustrate how our theorems lead to new basin of attraction estimates.

Publication Source (Journal or Book title)

Mathematical Control and Related Fields

First Page

570

Last Page

589

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