3 years ago

A characterization of integral input-to-state stability for hybrid systems

Navid Noroozi, Alireza Khayatian, Roman Geiselhart

Abstract

This paper addresses characterizations of integral input-to-state stability (iISS) for hybrid systems. In particular, we give a Lyapunov characterization of iISS unifying and generalizing the existing theory for pure continuous-time and pure discrete-time systems. Moreover, iISS is related to dissipativity and detectability notions. Robustness of iISS to sufficiently small perturbations is also investigated. As an application of our results, we provide a maximum allowable sampling period guaranteeing iISS for sampled-data control systems with an emulated controller.

Publisher URL: https://link.springer.com/article/10.1007/s00498-017-0199-4

DOI: 10.1007/s00498-017-0199-4

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