Weighted pseudo almost periodic solutions of octonion-valued neural networks with mixed time-varying delays and leakage delays

Abstract

In this paper, we propose a class of octonion-valued neural networks with leakage delays and mixed delays. Considering that the multiplication of octonion algebras does not satisfy the associativity and commutativity, we can obtain the existence and global exponential stability of weighted pseudo almost periodic solutions for octonion-valued neural networks with leakage delays and mixed delays by using the Banach fixed point theorem, the proof by contradiction and the non-decomposition method. Finally, we will give one example to illustrate the feasibility and effectiveness of the main results.

Keywords

• octonion algebra
• neural networks
• stability
• weighted pseudo almost periodic solutions
• delays