Delay-dependent criteria for the robust stability of systems with time-varying delay  

作　　者：MinWU YongHE JinhuaSHE 

机构地区：[1]SchoolofInformationScienceandEngineenng,CenwalSouthUniversity,ChangshaHunan410083,China [2]DeparmaentofMechatronics,TokyoUmversiWofTechinology,Tokyo192-0982,Japan

出　　处：《控制理论与应用（英文版）》2003年第1期97-100,共4页

基　　金：ThisworkwassupportedbytheDoctorSubjectFoundationofChina(No.2000053303).

摘　　要：The problem of delay-dependent robust stability for systems with time-varying delay has been considered. By using the S-procedure and the Park's inequality in the recent issue, a delay-dependent robust stability criterion which is less conservative than the previous results has been derived for time-delay systems with time-varying structured uncertainties. The same idea has also been easily extended to the systems with nonlinear perturbations. Numerical examples illustrated the effectiveness and the improvement of the proposed approach. Keywords Delay-dependent criteria - Robust stability - Time-varying structured uncertainties - Nonlinear perturbations - Linear matrix inequality This work was supported by the Doctor Subject Foundation of China (No. 2000053303).The problem of delay-dependent robust stability for systems with time-varying delay has been considered. By using the S-procedure and the Park's inequality in the recent issue, a delay-dependent robust stability criterion which is less conservative than the previous results has been derived for time-delay systems with time-varying structured uncertainties. The same idea has also been easily extended to the systems with nonlinear perturbations. Numerical examples illustrated the effectiveness and the improvement of the proposed approach. Keywords Delay-dependent criteria - Robust stability - Time-varying structured uncertainties - Nonlinear perturbations - Linear matrix inequality This work was supported by the Doctor Subject Foundation of China (No. 2000053303).

关 键 词：Delay-dependent criteria Robust stability Time-varying structured uncertainties Nonlinear perturbations Linear matrix inequality 

分 类 号：O231.1[理学—运筹学与控制论]