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

2016/06/23 by Navid Noroozi, Noroozi, Navid, Alireza Khayatian +3
Engineering · #Adaptive Control of Nonlinear Systems #Advanced Control Systems Optimization #Dynamical Systems (math.DS) #FOS: Mathematics #Stability and Control of Uncertain Systems

paper · pdf · doi:10.48550/arxiv.1606.07508

openalex publication_date 2016/06/23 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

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

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