Sp-Almost Periodic Solutions of Clifford-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays

• Published in: Neural processing letters Vol. 51; no. 2; pp. 1749 - 1769
• Main Authors: Shen, Shiping, Li, Yongkun
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.04.2020; Springer Nature B.V
• Subjects: Algebra; Artificial Intelligence; Artificial neural networks; Banach spaces; Cellular communication; Commutativity; Complex Systems; Computational Intelligence; Computer Science; Fixed points (mathematics); Fuzzy logic; Inequality; Neural networks; Quaternions; almost periodic solution; Global exponential stability; Clifford-valued fuzzy cellular neural networks
• ISSN: 1370-4621; 1573-773X
• DOI: 10.1007/s11063-019-10176-9

In this paper, we consider Clifford-valued fuzzy cellular neural networks with time-varying delays. In order to avoid the inconvenience caused by the non-commutativity of the multiplication of Clifford numbers, we first decompose the considered n -dimensional Clifford-valued systems into 2 m n -dimensional real-valued systems. Then by using the Banach fixed point theorem and a proof by contradiction, we establish sufficient conditions ensuring the existence, the uniqueness and the global exponential stability of S p -almost periodic solutions for the considered neural networks. Finally, we give an example to illustrate the effectiveness of the obtained results. Our results are new even when the considered neural networks degenerates to real-valued, complex-valued and quaternion-valued neural networks.