 Input-to-state-KL-stability and criteria for a class of hybrid dynamical systemsBin Liu, David J. Hill and Zhijie Sun Applied Mathematics and Computation, 2018, vol. 326, issue C, 124-140 Abstract: This paper aims to study input-to-state-KL-stability (IS-KL-stability) for a class of hybrid dynamical systems (HDS). The notions of IS-KLK0-property and IS-KL-stability are proposed. The IS-KLK0-property, including input-to-state stability (ISS), IS-KL-stability, and some non-ISS property, is a more general input-to-state property and reflects the specific effects on the dynamic behaviors from the dynamics of subsystems, switching events, and external inputs in HDS. An HDS with IS-KLK0-property is allowed to have non-ISS property. The criteria of IS-KL-stability are established for HDS with IS-KLK0-property subsystems via introducing a hybrid dwell time condition. The hybrid dwell time condition unifies the often used average dwell-time condition and converse average dwell-time condition. Moreover, the criteria on IS-KL-stability including event-ISS are established by the method of multiple Lyapunov-like functions. Finally, two examples are provided to verify the theoretical results. Keywords: Hybrid dynamical system (HDS); Input-to-state stability (ISS); Input-to-state-KL-stability; Dwell time; Multiple Lyapunov-like functions (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:326:y:2018:i:c:p:124-140 DOI: 10.1016/j.amc.2018.01.002 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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