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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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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