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<p>This paper investigates the fixed-time (FxT) stability of nonlinear impulsive systems and the FxT synchronization of complex-valued fuzzy binary association memory neural networks (BAM-NNs) with random impulsive effects. Firstly, some improved and easily applicable FxT stability results are introduced for a type of impulsive nonlinear systems which incorporates both stabilizing and destabilizing impulsive effects. Then, the established FxT stability results are employed to investigate the FxT synchronization of fuzzy BAM-NNs on complex domain with general impulsive effects under the simple nonlinear controller which only consists of two nonlinear terms. Compared with the recent published studies, the estimation accuracy of settling time is refined by assessing the value of an improper integral more accurately. Finally, two examples are presented to substantiate the validity of our obtained results.</p>

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Improved results on fixed-time synchronization of complex-valued fuzzy BAM neural networks with random impulsive effects

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • Rukeya Tohti,
  • Abdujelil Abdurahman

摘要

This paper investigates the fixed-time (FxT) stability of nonlinear impulsive systems and the FxT synchronization of complex-valued fuzzy binary association memory neural networks (BAM-NNs) with random impulsive effects. Firstly, some improved and easily applicable FxT stability results are introduced for a type of impulsive nonlinear systems which incorporates both stabilizing and destabilizing impulsive effects. Then, the established FxT stability results are employed to investigate the FxT synchronization of fuzzy BAM-NNs on complex domain with general impulsive effects under the simple nonlinear controller which only consists of two nonlinear terms. Compared with the recent published studies, the estimation accuracy of settling time is refined by assessing the value of an improper integral more accurately. Finally, two examples are presented to substantiate the validity of our obtained results.