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

Nuriyev Z.
June 2025 Springer

Journal of Mathematical Sciences (United States)
2025 #291 Issue 1 63 - 74 pp.

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.

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