Weighted pseudo almost periodic solutions for Clifford-valued neutral-type neural networks with leakage delays on time scales

• Main Authors: Shiping Shen, Yongkun Li
• Format: Article
• Language: English
• Published: SpringerOpen 2020-06-01
• Series: Advances in Difference Equations
• Subjects: Weighted pseudo almost periodic solutions; Clifford-valued neutral-type cellular neural networks; Global exponential stability; Time scales
• Online Access: http://link.springer.com/article/10.1186/s13662-020-02754-2

Abstract In this paper, we consider a class of Clifford-valued neutral-type neural networks with leakage delays on time scales. We do not decompose the networks under consideration into real-valued systems, but we directly study the Clifford-valued networks. We first establish the existence of weighted pseudo almost periodic solutions of this class of neural networks by the theory of calculus on time scales and the Banach fixed point theorem. Then, we study the global exponential stability of weighted pseudo almost periodic solutions of this class of neural networks by using inequality techniques and the proof by contradiction. Finally, we give an example to illustrate the feasibility of the obtained results.