Improved LMI representations for delay-independent and delay-dependent stability conditions  

作　　者：YingminJIA HidekiKokame 

机构地区：[1]TheSeventhResearchDivision,BeiHangUniversity,Beijing100083,China [2]DeparmaentofElectrical＆ElectronicSystems,OsakaPrefectureUniversity,Gakuen-cho1-1,Sakai,Osaka599-8531,Japan

出　　处：《控制理论与应用（英文版）》2003年第1期70-76,共7页

基　　金：ThisworkwassupportedbytheNationalNaturalScienceFoundationofChina(60374001,60334030),bytheChineseMinistryofEducation(20030006003)bytheJapanSocietyforthePromotionofScience.

摘　　要：Some new linear matrix inequality (LMI) representations for delay-independent and delay-dependent stability conditions are obtained by introducing additional matrices and eliminating the product coupling of the system matrices and the Lya-punov matrices. The results improve conservativeness of the given conditions for the analysis and the design of tune-delay systems with polytopic-type uncertainty.Some new linear matrix inequality (LMI) representations for delay-independent and delay-dependent stability conditions are obtained by introducing additional matrices and eliminating the product coupling of the system matrices and the Lya-punov matrices. The results improve conservativeness of the given conditions for the analysis and the design of tune-delay systems with polytopic-type uncertainty.

关 键 词：Improved LMIs Polytopic-type uncertainty Robust control Time-delay systems 

分 类 号：O231.1[理学—运筹学与控制论]