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On delay-dependent robust stability for uncertain neutral systems
作者姓名:He Yong  & Wu Min. School of Information Science and Engineering  Central South University  Changsha  P. R. China  . School of Mathematical Science and Computing Technology  Central South University  Changsha  P. R. China
作者单位:He Yong 1,2 & Wu Min11. School of Information Science and Engineering,Central South University,Changsha 410083,P. R. China;2. School of Mathematical Science and Computing Technology,Central South University,Changsha 410083,P. R. China
基金项目:ThisprojectwassupportedbytheNationalScienceFoundationofChina(60425310),theTeachingandResearchAwardProgramforOutstandingYoungTeachersinHigherEducationInstitutionsofMOE.
摘    要:1.INTRODUCTION Time delaysarefrequentlyencounteredinvariousengi neeringsystems,includingaircraftstabilization,nuclear reactors,populationdynamicsmodels1].Theirexistence isoftenthesourceofinstabilityinmanycontrolsystems.Stabilitycriteriafortime delaysystemscanbeclassified intotwocategories.Thestabilitycriteriathatincludein formationonthesizeofdelaysarereferredtoasdelay de pendentcriteria2~18]andthecriteriaapplicabletoanar bitrarysizeofdelaysarereferredtoasdelay independent criteria19~…


On delay-dependent robust stability for uncertain neutral systems
He Yong , & Wu Min. School of Information Science and Engineering,Central South University,Changsha ,P. R. China,. School of Mathematical Science and Computing Technology,Central South University,Changsha ,P. R. China.On delay-dependent robust stability for uncertain neutral systems[J].Journal of Systems Engineering and Electronics,2005,16(2).
Authors:He Yong  Wu Min
Institution:1. School of Information Science and Engineering, Central South University, Changsha 410083, P. R. China;School of Mathematical Science and Computing Technology, Central South University, Changsha 410083, P. R. China
2. School of Information Science and Engineering, Central South University, Changsha 410083, P. R. China
Abstract:The problem of delay-dependent criteria for the robust stability of neutral systems with time-varying structured uncertainties and identi-cal neutral-delay and discrete-delay is concerned. A criterion for nominal systems is presented by taking the relationship between the terms in the Leibniz-Newton formula into account, which is described by some free-weighting matrices. In addition, this criterion is extended to robust stability of the systems with time-varying structured uncertainties. All of the criteria are based on linear matrix inequality such that it is easy to calculate the upper bound of the time-delay and the free-weighting matrices. Numerical examples illustrate the effectiveness and the improvement over the existing results.
Keywords:neutral system  delay-dependent criteria  robust stability  time-varying structured uncertainties  linear matrix inequality  
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