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Delay-independent absolute stability for time-delay Lur'e systems with sector and slope restricted nonlinearities
Authors:S.M. Lee   O.M. Kwon  Ju H. Park  
Affiliation:

aPlatform Verification Division, BcN Business Unit, KT Co. Ltd., Daejeon, Republic of Korea

bSchool of Electrical & Computer Engineering, 12 Gaeshin-Dong, Heungduk-Gu, Chungbuk National University, Cheongju, Republic of Korea

cRobust Control and Nonlinear Dynamics Laboratory, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea

Abstract:This Letter presents an analysis method for a delay-independent absolute stability of time-delay Lur'e systems with sector and slope restrictions. The proposed method is based on the Lyapunov functions with quadratic form of states and nonlinear functions of the systems. Several criteria are derived in terms of linear matrix inequalities (LMIs). A numerical example is illustrated to show the effectiveness of the proposed method.
Keywords:Lur'e time-delay systems   Sector and slope restrictions   LMIs
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