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<p>We consider fuzzy shunting inhibitory cellular neural networks with time-varying coefficients and delays. Under the Banach fixed point theorem and properties of fuzzy set operations, we prove the existence of antiperiodic solutions for fuzzy shunting inhibitory cellular neural networks. We prove the stability of antiperiodic solutions for fuzzy shunting inhibitory cellular neural networks. We establish sufficient conditions to ensure the exponential global stability of antiperiodic solutions. Numerical simulations are provided.</p>

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Stability of Antiperiodic Solutions to Fuzzy Shunting Inhibitory Cellular Neural Networks with Delays

  • 期刊论文

  • 发表日期：

    2025年6月7日

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  • Zhangir Nuriyev

摘要

We consider fuzzy shunting inhibitory cellular neural networks with time-varying coefficients and delays. Under the Banach fixed point theorem and properties of fuzzy set operations, we prove the existence of antiperiodic solutions for fuzzy shunting inhibitory cellular neural networks. We prove the stability of antiperiodic solutions for fuzzy shunting inhibitory cellular neural networks. We establish sufficient conditions to ensure the exponential global stability of antiperiodic solutions. Numerical simulations are provided.