On Delay-dependent and Delay-derivative-dependent Stability and Stabilization for Lur’e Systems with Slowvarying Delay  

作　　者：Yuan He Jin-Wen Liu Xue-Qin Cui Jin-Tian Hu Lian-Sheng Zhang 

机构地区：[1]Department of Chemical Engineering,Beijing Institute of Petro-chemical Technology,Beijing 102617,China [2]Department of Information Engineering,Beijing Institute of Petro-chemical Technology,Beijing 102617,China [3]Deparment of Mathematics and Physics,Beijing Institute of Petro-chemical Technology,Beijing 102617,China

出　　处：《Journal of Electronic Research and Application》2020年第1期18-25,共8页电子研究与应用

基　　金：The work is supported in part by The Key Technology Research for Polymerizer Cleaning Equipment by Using High-Pressure Water Jets under Grant 17032221002;the Science and Technology Plan of Beijing Municipal Education Commission under Grant KM201910017002.

摘　　要：This note is concerned with the absolutestability for time-varying delay Lur’e system withsector-bounded nonlinearity. Improved delay-dependentand delay-derivative-dependent stability criteria areobtained in the form of linear matrix inequalities (LMIs)by constructing a modified augmented Lyapunov-Krasovskii (LK) functional without applying the modeltransformation or the bounding techniques for crossterms. Thus, the presented delay-dependent criteria areless conservative than those in the literature. Moreover,state feedback stabilizing controllers based on theproposed stability criteria are designed. Numericalexample demonstrates the effectiveness and superiorityof the proposed method.

关 键 词：Lur’e systems TIME-DELAY Absolute STABILITY LMI STABILIZATION 

分 类 号：O17[理学—数学]