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

被引：0
|
作者：
Navid Noroozi
Alireza Khayatian
Roman Geiselhart
机构：
[1] University of Passau,Faculty of Computer Science and Mathematics
[2] University of Shahreza,Department of Electrical Engineering
[3] Shiraz University,School of Electrical and Computer Engineering
[4] University of Ulm,Institute of Measurement, Control and Microtechnology
来源：
Mathematics of Control, Signals, and Systems | 2017年 / 29卷
关键词：
Integral input-to-state stability; Hybrid systems; Lyapunov characterizations;
D O I：
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学科分类号：
摘要：
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.
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