In this work we present further characterizations of integral input-to-state stability (iISS) for hybrid systems. In particular, the equivalence between 0-input uniform global asymptotic stability (0-UGAS) plus uniform bounded energy bounded state (UBEBS) and iISS is examined. In order to show this equivalence, some necessary conditions for 0-UGAS and UBEBS are provided. In addition, a non-smooth Lyapunov characterization for hybrid systems is proposed and proven. With the help of the aforementioned equivalence, the combination of local iISS and practical iISS, which are defined in this work, is also shown to be equivalent to iISS under one condition on the local and practical quantifiers.

(2024). Further characterizations of integral input-to-state stability for hybrid systems [journal article - articolo]. In AUTOMATICA. Retrieved from https://hdl.handle.net/10446/299787

Further characterizations of integral input-to-state stability for hybrid systems

Russo, Antonio
2024-01-01

Abstract

In this work we present further characterizations of integral input-to-state stability (iISS) for hybrid systems. In particular, the equivalence between 0-input uniform global asymptotic stability (0-UGAS) plus uniform bounded energy bounded state (UBEBS) and iISS is examined. In order to show this equivalence, some necessary conditions for 0-UGAS and UBEBS are provided. In addition, a non-smooth Lyapunov characterization for hybrid systems is proposed and proven. With the help of the aforementioned equivalence, the combination of local iISS and practical iISS, which are defined in this work, is also shown to be equivalent to iISS under one condition on the local and practical quantifiers.
articolo
2024
Liu, Shenyu; Russo, Antonio
(2024). Further characterizations of integral input-to-state stability for hybrid systems [journal article - articolo]. In AUTOMATICA. Retrieved from https://hdl.handle.net/10446/299787
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