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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.
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https://hal.inria.fr/hal-03431315
Contributor : Frederic Mazenc Connect in order to contact the contributor
Submitted on : Tuesday, November 16, 2021 - 3:57:13 PM
Last modification on : Friday, December 2, 2022 - 11:52:04 AM
Long-term archiving on: : Thursday, February 17, 2022 - 8:06:42 PM

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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⟩

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