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Robust H ∞ Control For Uncertain Singular Neutral Time-Delay Systems

Author

Listed:
  • Yuhong Huo

    (School of Finance and Mathematics, Huainan Normal University, Dongshanxi Street, Tianjiaan Dist., Huainan 232038, China)

  • Jia-Bao Liu

    (School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China)

Abstract

The present paper attempts to investigate the problem of robust H ∞ control for a class of uncertain singular neutral time-delay systems. First, a linear matrix inequality (LMI) is proposed to give a generalized asymptotically stability condition and an H ∞ norm condition for singular neutral time-delay systems. Second, the LMI is utilized to solve the robust H ∞ problem for singular neutral time-delay systems, and a state feedback control law verifies the solution. Finally, four theorems are formulated in terms of a matrix equation and linear matrix inequalities.

Suggested Citation

  • Yuhong Huo & Jia-Bao Liu, 2019. "Robust H ∞ Control For Uncertain Singular Neutral Time-Delay Systems," Mathematics, MDPI, vol. 7(3), pages 1-13, February.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:217-:d:209143
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    References listed on IDEAS

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    1. Wang, Bo & Yan, Juan & Cheng, Jun & Zhong, Shouming, 2017. "New criteria of stability analysis for generalized neural networks subject to time-varying delayed signals," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 322-333.
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