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Quadratic stability and stabilization of bimodal piecewise linear systems

dc.contributor.authorEren, Yavuz
dc.contributor.authorShen, Jinglai
dc.contributor.authorCamlibel, Kanat
dc.date.accessioned2026-06-27T13:31:30Z
dc.date.issued2014
dc.description.abstractThis paper deals with quadratic stability and feedback stabilization problems for continuous bimodal piecewise linear systems. First, we provide necessary and sufficient conditions in terms of linear matrix inequalities for quadratic stability and stabilization of this class of systems. Later, these conditions are investigated from a geometric control point of view and a set of sufficient conditions (in terms of the zero dynamics of one of the two linear subsystems) for feedback stabilization are obtained. (c) 2014 Elsevier Ltd. All rights reserved.en
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK)
dc.description.sponsorshipDirect For Mathematical & Physical Scien
dc.description.sponsorshipDivision Of Mathematical Sciences [1042916] Funding Source: National Science Foundation
dc.description.urihttps://doi.org/10.1016/j.automatica.2014.03.009
dc.identifier.doi10.1016/j.automatica.2014.03.009
dc.identifier.eissn1873-2836
dc.identifier.endpage1450
dc.identifier.issn0005-1098
dc.identifier.issue5
dc.identifier.startpage1444
dc.identifier.urihttps://hdl.handle.net/20.500.14981/53542
dc.identifier.volume50
dc.identifier.wos000336779100013
dc.language.isoeng
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.relation.ispartofAUTOMATICA
dc.rightsopenAccess
dc.subjectPiecewise linear systems
dc.subjectBimodal systems
dc.subjectCommon quadratic Lyapunov function
dc.subjectQuadratic stability
dc.subjectFeedback stabilization
dc.subjectLYAPUNOV FUNCTIONS
dc.subjectAutomation & Control Systems
dc.subjectEngineering
dc.titleQuadratic stability and stabilization of bimodal piecewise linear systems
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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