KL-stability for a class of hybrid dynamical systems
dc.contributor.author | Liu, B. | |
dc.contributor.author | Dam, H. | |
dc.contributor.author | Teo, Kok Lay | |
dc.contributor.author | Hill, D. | |
dc.date.accessioned | 2018-01-30T08:04:38Z | |
dc.date.available | 2018-01-30T08:04:38Z | |
dc.date.created | 2018-01-30T05:59:04Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Liu, B. and Dam, H. and Teo, K.L. and Hill, D. 2017. KL-stability for a class of hybrid dynamical systems. IMA Journal of Applied Mathematics. 82 (5): pp. 1043-1060. | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/61331 | |
dc.identifier.doi | 10.1093/imamat/hxx023 | |
dc.description.abstract |
This article studies KL-stability (the stability expressed by KL-class function) for a class of hybrid dynamical systems (HDS). The notions ofKLK-property andKL-stability are proposed for HDS with respect to the hybrid-event-Time. The KL-stability, which is based on K or L property of the continuous flow, the discrete jump, and the event in an HDS, extends theKLL-stability and the event-stability reported in the literature for HDS. The relationships between KLK-property and KL-stability are established via introducing the hybrid dwell-Time condition (HDT). The HDT generalizes the average dwell-Time condition in the literature. For an HDS with KLK-property consisting of stabilizing L-property and destabilizing K-property, it is shown that there exists a common HDT under which the HDS will achieve KL-stability. Thus HDT may help to derive some easily tested conditions for HDS to achieve uniform asymptotic stability. Moreover, a criterion ofKL-stability is derived by using the multiple Lyapunov-like functions. Examples are given to illustrate the obtained theoretical results. | |
dc.publisher | Oxford University Press | |
dc.title | KL-stability for a class of hybrid dynamical systems | |
dc.type | Journal Article | |
dcterms.source.volume | 82 | |
dcterms.source.number | 5 | |
dcterms.source.startPage | 1043 | |
dcterms.source.endPage | 1060 | |
dcterms.source.issn | 0272-4960 | |
dcterms.source.title | IMA Journal of Applied Mathematics | |
curtin.department | School of Electrical Engineering, Computing and Mathematical Science (EECMS) | |
curtin.accessStatus | Open access via publisher |
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