(µ, ν)−pseudo almost automorphic solutions of neutral type Clifford-valued high-order Hopfield neural networks with D operator

Chaouki Aouiti (1) , Farah Dridi (1) , Qing Hui (2) , Emmanuel Moulay (3)

1 Faculté des Sciences de Bizerte [Université de Carthage]
2 University of Nebraska–Lincoln
3 XLIM-SRI - Systèmes et Réseaux Intelligents

The aim of this article is to study neutral type Clifford-valued highorder Hopfield neural networks with mixed delays and D operator. New criteria are established for the existence, uniqueness and global exponential stability of (µ, ν)−pseudo almost automorphic solutions of the considered model via Banach's fixed point principle and differential inequality techniques. An example is given to show the effectiveness of the main new criteria. Keywords Clifford algebra • High-order Hopfield neural network • (µ, ν)−pseudo almost automorphic function • D operator

Domaines: Optimisation et contrôle [math.OC]; Réseau de neurones [cs.NE]

Chaouki Aouiti, Farah Dridi, Qing Hui, Emmanuel Moulay. (µ, ν)−pseudo almost automorphic solutions of neutral type Clifford-valued high-order Hopfield neural networks with D operator. Neural Processing Letters, 2021, 53 (1), pp.799-828. ⟨10.1007/s11063-020-10421-6⟩. ⟨hal-03233002⟩