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Robust Delay-Dependent Stability Criteria for Time-Varying Delayed Lur’e Systems of Neutral Type

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Abstract

This paper deals with the problem of the robust delay-dependent stability of uncertain Lur’e systems with neutral-type time-varying delays. By constructing a set of Lyapunov–Krasovskii functional, less conservative robust stability criteria are derived in terms of linear matrix inequalities. The contribution in reduced conservation of the proposed stability criteria relies on the reciprocally convex method and Wirtinger inequality, which provides tighter upper bound than Jensen inequality. Three numerical examples are provided to show the effectiveness of the proposed method.

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Authors and Affiliations

  1. Department of Electronic Engineering, Daegu University, Gyungsan, 712-714, Republic of Korea

    Yajuan Liu & S. M. Lee

  2. School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Heungduk-gu, Cheongju, 361-763, Republic of Korea

    O. M. Kwon

  3. Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan, 712-749, Republic of Korea

    Ju H. Park

Authors
  1. Yajuan Liu
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  2. S. M. Lee
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  3. O. M. Kwon
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  4. Ju H. Park
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Correspondence to S. M. Lee.

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Liu, Y., Lee, S.M., Kwon, O.M. et al. Robust Delay-Dependent Stability Criteria for Time-Varying Delayed Lur’e Systems of Neutral Type. Circuits Syst Signal Process 34, 1481–1497 (2015). https://doi.org/10.1007/s00034-014-9909-z

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