Improved quasi-uniform stability criterion of fractional-order neural networks with discrete and distributed delays

This article mainly investigates the quasi-uniform stability of fractional-order neural networks with time discrete and distributed delays (FONNDDDs). First, a novel fractional-order Gronwall inequality with discrete and distributed delays (FOGIDDDs) is established; it can be used to study the stability of a variety of fractional-order systems with discrete and distributed delays (FOSDDDs). Second, on the basis of this inequality and Leray-Schauder alternative theorem, the existence and uniqueness results for the FONNDDDs are proved. Third, an improved criterion for the quasi-uniform stability of FONNDDDs is obtained in terms of this inequality. Ultimately, one numerical example is provided to expound the effectiveness and the superiority of the proposed result.

Automated summary

This article mainly investigates the quasi-uniform stability of fractional-order neural networks with time discrete and distributed delays (FONNDDDs). It establishes a novel inequality and abstract theorem to prove the existence and stability of the system, and proposes an improved criterion. The effectiveness and superiority of the proposed result are demonstrated through a numerical example.