Abstract : For linear time-varying systems with a persistently excited state matrix it is well-known that input-to-state stability is recovered. In this note a relaxed condition on persistence of excitation is studied together with related robust stability notions (input-to-state stability and integral input-to-state stability). The results are illustrated by simulations for scalar systems.
Type de document :
Communication dans un congrès
CDC 2018 - 57th IEEE Conference on Decision and Control, Dec 2018, Fontainebleau (FL), United States
https://hal.inria.fr/hal-01888575
Contributeur : Denis Efimov
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Soumis le : vendredi 5 octobre 2018 - 10:57:53
Dernière modification le : vendredi 26 octobre 2018 - 10:19:37
Document(s) archivé(s) le : dimanche 6 janvier 2019 - 13:55:26
Denis Efimov, Nikita Barabanov, Romeo Ortega. Robust stability under relaxed persistent excitation conditions. CDC 2018 - 57th IEEE Conference on Decision and Control, Dec 2018, Fontainebleau (FL), United States. 〈hal-01888575〉
