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

作者：Noroozi Navid^*; Khayatian Alireza; Geiselhart Roman

来源：Mathematics of Control Signals and Systems, 2017, 29(3): 13.

DOI：10.1007/s00498-017-0199-4

• Integral input-to-state stability
• Hybrid systems
• Lyapunov characterizations

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.

• 出版日期2017-9