Antiperiodic solutions to delayed inertial quaternion‐valued neural networks. (27th April 2020)

• Record Type: Journal Article
• Authors: Xu, Changjin; Li, Peiluan; Liao, Maoxin; Liu, Zixin; Xiao, Qimei
• Is Part Of: Mathematical methods in the applied sciences. Volume 43:Number 12(2020)
• Page Start: 7326
• Page End: 7344
• Publication Date: 2020-04-27
• Subjects: antiperiodic solution -- exponential stability -- inertial term -- quaternion‐valued neural networks -- time delay; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.6469
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : This manuscript mainly deals with quaternion‐valued neural networks (QVNNs) with delays and inertial term. Using Wirtinger inequality and coincidence degree theory, a new sufficient criterion to ensure the existence of antiperiodic solution of involved quaternion‐valued neural networks is derived. With the aid of Lyapunov function, we discuss the exponential stability of antiperiodic solutions to quaternion‐valued neural networks. Numerical simulations are presented to illustrate the established theoretical findings.