Title

Stability Analysis Using Generalized Sup-Delay Inequalities

Document Type

Article

Publication Date

10-1-2021

Abstract

We provide a new generalization of a recent trajectory-based approach for proving global asymptotic stability properties, using new sup-delay inequalities. Our generalization eliminates the usual contractivity requirement from previous sup-delay inequality approaches. We show how the requirements of our generalization hold under less restrictive Halanay's conditions than those that were previously reported. While the usual Halanay's inequality requires the decay rate to exceed the gain, our less restrictive conditions allow the gain to exceed the decay rate. We apply our work to systems with switching delays and to a continuous-discrete system.

Publication Source (Journal or Book title)

IEEE Control Systems Letters

First Page

1411

Last Page

1416

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