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...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.展开更多
This paper is concerned with the problem of designing a time-delay output feedback control law for masterslave synchronization of singular Lur＇e systems. Using generalized Lyapunov stability theory, a sufficient cond...This paper is concerned with the problem of designing a time-delay output feedback control law for masterslave synchronization of singular Lur＇e systems. Using generalized Lyapunov stability theory, a sufficient condition for the existence of such feedback control law is given and an explicit expression of such control law is also achieved. These algorithms are formulated in terms of linear matrix inequalities, which can be easily performed numerically. A numerical example is used to illustrate the effectiveness of the design method.展开更多
This paper is concerned with the stochastic stability and passivity analysis for a class of Lur’e singular systems with time-varying delay and Markovian switching. By using the free-weighting matrices approach, a del...This paper is concerned with the stochastic stability and passivity analysis for a class of Lur’e singular systems with time-varying delay and Markovian switching. By using the free-weighting matrices approach, a delay-dependent stability criterion, which guarantees that the system is stochastically stable and robustly passive, is derived in terms of linear matrix inequality （LMI）. Two numerical examples are provided to illustrate the effectiveness of the proposed method. 更多还原展开更多
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 17032221002the Science and Technology Plan of Beijing Municipal Education Commission under Grant KM201910017002.
文摘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.
基金supported by the National Natural Science Foundation of China (Nos. 60904011, 61104016, 61004034)the Specialized Research Fund for the Doctoral Program of Higher Education (No. 20093227120010)+1 种基金the Natural Science Foundation of Jiangsu Province, China (No. BK2011465)the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (No. 201106)
文摘This paper is concerned with the problem of designing a time-delay output feedback control law for masterslave synchronization of singular Lur＇e systems. Using generalized Lyapunov stability theory, a sufficient condition for the existence of such feedback control law is given and an explicit expression of such control law is also achieved. These algorithms are formulated in terms of linear matrix inequalities, which can be easily performed numerically. A numerical example is used to illustrate the effectiveness of the design method.
基金supported by National High Technology Research and Development Program of China (863 Program)(No. 2011AA7052011)
文摘This paper is concerned with the stochastic stability and passivity analysis for a class of Lur’e singular systems with time-varying delay and Markovian switching. By using the free-weighting matrices approach, a delay-dependent stability criterion, which guarantees that the system is stochastically stable and robustly passive, is derived in terms of linear matrix inequality （LMI）. Two numerical examples are provided to illustrate the effectiveness of the proposed method. 更多还原
