Please use this identifier to cite or link to this item: https://doi.org/10.1080/00207179.2012.713987
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dc.titleSufficient and necessary conditions for the stability of second-order switched linear systems under arbitrary switching
dc.contributor.authorYang, Y.
dc.contributor.authorXiang, C.
dc.contributor.authorLee, T.H.
dc.date.accessioned2014-04-24T07:25:07Z
dc.date.available2014-04-24T07:25:07Z
dc.date.issued2012-12-01
dc.identifier.citationYang, Y., Xiang, C., Lee, T.H. (2012-12-01). Sufficient and necessary conditions for the stability of second-order switched linear systems under arbitrary switching. International Journal of Control 85 (12) : 1977-1995. ScholarBank@NUS Repository. https://doi.org/10.1080/00207179.2012.713987
dc.identifier.issn00207179
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/51052
dc.description.abstractMany practical systems can be modelled as switched systems, whose stability problem is challenging even for linear subsystems. In this article, the stability problem of second-order switched linear systems with a finite number of subsystems under arbitrary switching is investigated. Sufficient and necessary stability conditions are derived based on the worst-case analysis approach in polar coordinates. The key idea of this article is to partition the whole state space into several regions and reduce the stability analysis of all the subsystems to analysing one or two worst subsystems in each region. This article is an extension of the work for stability analysis of second-order switched linear systems with two subsystems under arbitrary switching. © 2012 Copyright Taylor and Francis Group, LLC.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1080/00207179.2012.713987
dc.sourceScopus
dc.subjectgeometrical approach
dc.subjectpolar coordinates
dc.subjectstability
dc.subjectswitched linear systems
dc.subjectworst-case analysis
dc.typeArticle
dc.contributor.departmentELECTRICAL & COMPUTER ENGINEERING
dc.description.doi10.1080/00207179.2012.713987
dc.description.sourcetitleInternational Journal of Control
dc.description.volume85
dc.description.issue12
dc.description.page1977-1995
dc.description.codenIJCOA
dc.identifier.isiut000309722100014
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