摘要
Inthispaper,weformulateauniformmathematicalframeworkforstudyingswitchedsystemswithpiecewiselinearpartitionedstatespaceandstatedependentswitching.Basedonknownresultsfromthetheoryofdifferentialinclusions,wedeviseaLyapunovstabilitytheoremsuitableforthisclassofswitchedsystems.Withthis,weproveaLyapunovstabilitytheoremforpiecewiselinearswitchedsystemsbymeansofaconcreteclassofLyapunovfunctions.Contrarytoexistingresultsonthesubject,thestabilitytheoremsinthispaperincludeFilippov(orrelaxed)solutionsandallowinfiniteswitchinginfinitetime.Finally,weshowthatforaclassofpiecewiselinearswitchedsystems,theinertiaofthesystemisnotsufficienttodetermineitsstability.Anumberofexamplesareprovidedtoillustratetheconceptsdiscussedinthispaper.
出版日期
2012年02月12日（中国期刊网平台首次上网日期，不代表论文的发表时间）
