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<p>This manuscript discusses the issues of stability and stabilization of fuzzy fractional-order Takagi–Sugeno positive systems with fixed delays by employing the linear programming (LP) approach. The proposed delay-dependent stabilization results are developed using the Lyapunov–Krasovskii function (LKF) and are then extended to address the stabilization problem for fuzzy fractional-order positive systems with bounded non-negative control, as well as the stabilization problem with non-symmetric bounds that are not restricted in sign.</p>

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Stabilization of delayed fractional-order Takagi–Sugeno fuzzy positive systems

  • 期刊论文

  • 发表日期：

    2025年10月27日

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  • Laila Dami,
  • Khalid Badie,
  • Ghali Naami,
  • Benzaouia Abdellah

摘要

This manuscript discusses the issues of stability and stabilization of fuzzy fractional-order Takagi–Sugeno positive systems with fixed delays by employing the linear programming (LP) approach. The proposed delay-dependent stabilization results are developed using the Lyapunov–Krasovskii function (LKF) and are then extended to address the stabilization problem for fuzzy fractional-order positive systems with bounded non-negative control, as well as the stabilization problem with non-symmetric bounds that are not restricted in sign.