Abstract

ABSTRACT This article mainly explores a class of proportional delayed high-order inertial Hopfield neural networks (HIHNNs) with time-varying coefficients. Without using the reduced-order method, by combining Lyapunov function method with differential inequality approach, some sufficient criteria on the existence of anti-periodic solutions including its uniqueness and exponential stability are built up. The obtained results provide us some lights for designing a stable HIHNNs and complement some earlier publications. In addition, simulations show that the theoretical anti-periodic dynamics are in excellent agreement with the numerically observed behaviour.

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