During the past few decades,there have been a number of new delay-dependent stability criteria based on linear matrix inequalities published in the literature.These criteria,to some extent,can reduce the conservativen...During the past few decades,there have been a number of new delay-dependent stability criteria based on linear matrix inequalities published in the literature.These criteria,to some extent,can reduce the conservativeness.In fact,some criteria are equivalence.In this paper,we aim to theoretically establish equivalence of two stability criteria.One was obtained by Sun et al.[Sun et al.In:Proceedings of IEEE Power&Energy Society General Meeting.2009,1–7]and the other was given by Xu et al.[Xu et al.IEEE Transactions on Automatic Control,2005,50(3):384–387].Also,we theoretically establish equivalence of the robust stability criterion presented by Jia et al.[Jia et al.Automation of Electric Power Systems,2010,34(3):6–11]and the one given by Xu et al.(2005).展开更多
基金This work was supported by the National Natural Science Foundation of China(Grant No.50707019)Special Fund of the National Fundamental Research(No.2009CB219701)+2 种基金Tianjin Municipal(No.09JCZDJC25000)the National Major Project of Scientific and Technical Supporting Programs of China During the 11th Five-Year Plan Period(No.2006BAJ03A06)a grant from the Ph.D.Programs Foundation of Ministry of Education of China(No.20090032110064).
文摘During the past few decades,there have been a number of new delay-dependent stability criteria based on linear matrix inequalities published in the literature.These criteria,to some extent,can reduce the conservativeness.In fact,some criteria are equivalence.In this paper,we aim to theoretically establish equivalence of two stability criteria.One was obtained by Sun et al.[Sun et al.In:Proceedings of IEEE Power&Energy Society General Meeting.2009,1–7]and the other was given by Xu et al.[Xu et al.IEEE Transactions on Automatic Control,2005,50(3):384–387].Also,we theoretically establish equivalence of the robust stability criterion presented by Jia et al.[Jia et al.Automation of Electric Power Systems,2010,34(3):6–11]and the one given by Xu et al.(2005).
