| 基于级联形式的线性切换系统的稳定性 |
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| 引用本文： | 朱亚红,程代展,席在荣,ZHU Yahong,CHENG Daizhan,XI Zairong.基于级联形式的线性切换系统的稳定性[J].吉林大学学报(工学版),2004,34(3):408-411. |
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| 作者姓名： | 朱亚红 程代展 席在荣 ZHU Yahong CHENG Daizhan XI Zairong |
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| 作者单位： | Institute of Systems Science，Chinese Academy of Sciences，Beijing 100080，China |
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| 基金项目： | SupportedbytheChineseNationalNaturalScienceFoundation(6 0 3430 0 1，6 0 2 74 0 10 ) |
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| 摘 要： | 1 IntroductionInrecentyears ,oneimportanttopicininvestigatingswitchedsystemsisthestability1 ,2 ] .Averynaturalway ,butnotnecessary ,istofindaCQLFforallswitchingmodels.SuchaLyapunovfunctionsufficesforthestabilityofsystemsunderarbitraryswitchings .ForlinearswitchingmodelsthequadraticLyapunovfunctionplaysanimportantrole.Definition 1 Consideraswitchedlinearsystemx· =Aσ(t) x , x ∈Rn ( 1 )whereσ(t) :0 ,∞ )→Λisameasurablemapping ,andΛ ={1 ,… ,N}.Thesystem ( 1 )issaidtobequadratic…
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Stability of switched linear systems via cascading |
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| ZHU Yahong.Stability of switched linear systems via cascading[J].Journal of Jilin University:Eng and Technol Ed,2004,34(3):408-411. |
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| Authors: | ZHU Yahong |
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| Affiliation: | Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China;Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China;Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China;Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China;Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China;Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | In order to investigate the problem of quadratic stability of switched linear systems via cascading, all the real invariant subspaces of a given linear system were investigated, and the result was used to provide comparable cascading form of switching models. Using the common cascading form, a common quadratic Lyapunov function (CQLF) can be found by the set of CQLF of diagonal blocks. |
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| Keywords: | switching linear system quadratic stability CQLF |
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