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Article Dans Une Revue IEEE Control Systems Letters Année : 2024

For time-invariant delay systems, global asymptotic stability does not imply uniform global attractivity

Résumé

Adapting a counter-example recently proposed by J.L. Mancilla-Aguilar and H. Haimovich, we show here that, for time-delay systems, global asymptotic stability does not ensure that solutions converge uniformly to zero over bounded sets of initial states. Hence, the convergence might be arbitrarily slow even if initial states are confined to a bounded set.
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Dates et versions

hal-04695302 , version 1 (12-09-2024)

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Antoine Chaillet, Fabian Wirth, Andrii Mironchenko, Lucas Brivadis. For time-invariant delay systems, global asymptotic stability does not imply uniform global attractivity. IEEE Control Systems Letters, 2024, 8, pp.484-489. ⟨10.1109/LCSYS.2024.3396291⟩. ⟨hal-04695302⟩
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