Asymptotic synchronization analysis of fractional-order octonion-valued neural networks with impulsive effects

Abstract

This paper deals with a class of fractional-order octonion-valued neural networks (FOOVNNs) with impulsive effects. Firstly, although the multiplication of octonion numbers does not satisfy the commutativity and associativity, we don't need to separate an octonion-valued system into eight real-valued systems. Secondly, by applying the appropriate Lyapunov function, and inequality techniques, we obtain the global asymptotical synchronization of FOOVNNs. Finally, we give two illustrative examples to illustrate the feasibility of the proposed method.

Keywords

• octonion algebra
• synchronization
• fractional-order
• neural networks
• impulsive effects