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This paper deals with finite-time control of uncertain semi-Markovian interval type-2 (IT2) systems subject to fractional Brownian motion (fBm) with general uncertain transition rates (TRs), in which Hurst index H is in the interval \((\frac{1}{2},1)\) . First, an improved Lyapunov-Krasovskii functional (LKF) is formulated. Next, with the utilization of Bernoulli’s inequality and Wirtinger inequality, some sufficient conditions for neutral stochastic finite-time boundedness are obtained in the form of linear matrix inequalities (LMIs).

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\(H_\infty \) Finite-Time Boundedness of Neutral Semi-Markovian Jumping IT2 Fuzzy Neural Networks

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  • 发表日期：

    2025年

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  • Changhong Wang,
  • Xiao Xu,
  • Yonggui Kao,
  • Hongwei Xia

摘要

This paper deals with finite-time control of uncertain semi-Markovian interval type-2 (IT2) systems subject to fractional Brownian motion (fBm) with general uncertain transition rates (TRs), in which Hurst index H is in the interval \((\frac{1}{2},1)\) . First, an improved Lyapunov-Krasovskii functional (LKF) is formulated. Next, with the utilization of Bernoulli’s inequality and Wirtinger inequality, some sufficient conditions for neutral stochastic finite-time boundedness are obtained in the form of linear matrix inequalities (LMIs).