Stability Analysis using Generalized Sup-Delay Inequalities - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2021

Stability Analysis using Generalized Sup-Delay Inequalities

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.
Fichier principal
Vignette du fichier
27Feb2021FinalACC21Upload.pdf (227.17 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03431315 , version 1 (16-11-2021)

Identifiers

Cite

Frederic Mazenc, Michael Malisoff, Miroslav Krstic. Stability Analysis using Generalized Sup-Delay Inequalities. ACC 2021 - American Control Conference, May 2021, New Orleans, United States. ⟨10.23919/acc50511.2021.9482676⟩. ⟨hal-03431315⟩
25 View
39 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More