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Article Dans Une Revue Mathematical Control and Related Fields Année : 2024

Local Halanay's Inequality with Application to Feedback Stabilization *

Résumé

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 in- put 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.
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hal-04621069 , version 1 (23-06-2024)

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  • HAL Id : hal-04621069 , version 1

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Michael Malisoff, Frederic Mazenc. Local Halanay's Inequality with Application to Feedback Stabilization *. Mathematical Control and Related Fields, 2024. ⟨hal-04621069⟩
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