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<p>In this paper, the finite-time stabilization (FTS) issues of singular stochastic time-varying systems (SSTVSs) with time-varying delay are explored based on fuzzy control and the interval matrix method. Initially, the T–S fuzzy (TSF) model is employed to carry out a time-dependent fuzzy dynamic partitioning of the systems. Simultaneously, the time-varying parameters are reformulated using interval coefficients. Correspondingly, the initial systems are transformed into singular stochastic fuzzy systems with time-varying delay and interval parameter coefficients. Subsequently, a piecewise fuzzy controller is developed by means of the interval matrix method, and integral inequalities are utilized to handle Lyapunov–Krasovskii functions (LKFs). Then, the sufficient conditions for guaranteeing FTS of SSTVSs are derived. Finally, a numerical example along with simulations is provided to illustrate the effectiveness of the proposed control strategy and its capacity to achieve the desired control objectives.</p>

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Finite-Time Stabilization for Singular Stochastic Time-Varying Systems with Time-Varying Delay Via Fuzzy Control and Interval Matrix Method

  • 期刊论文

  • 发表日期：

    2025年4月10日

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  • Guici Chen,
  • Xiaoting He,
  • Leimin Wang,
  • Yin Sheng

摘要

In this paper, the finite-time stabilization (FTS) issues of singular stochastic time-varying systems (SSTVSs) with time-varying delay are explored based on fuzzy control and the interval matrix method. Initially, the T–S fuzzy (TSF) model is employed to carry out a time-dependent fuzzy dynamic partitioning of the systems. Simultaneously, the time-varying parameters are reformulated using interval coefficients. Correspondingly, the initial systems are transformed into singular stochastic fuzzy systems with time-varying delay and interval parameter coefficients. Subsequently, a piecewise fuzzy controller is developed by means of the interval matrix method, and integral inequalities are utilized to handle Lyapunov–Krasovskii functions (LKFs). Then, the sufficient conditions for guaranteeing FTS of SSTVSs are derived. Finally, a numerical example along with simulations is provided to illustrate the effectiveness of the proposed control strategy and its capacity to achieve the desired control objectives.