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Robust stability under relaxed persistent excitation conditions

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.
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Submitted on : Friday, October 5, 2018 - 10:57:53 AM
Last modification on : Friday, January 21, 2022 - 3:01:26 AM
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  • HAL Id : hal-01888575, version 1


Denis Efimov, Nikita Barabanov, Romeo Ortega. Robust stability under relaxed persistent excitation conditions. 57th IEEE Conference on Decision and Control (CDC 2018), Dec 2018, Miami Beach, FL, United States. ⟨hal-01888575⟩



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