Periodic oscillation of memristor-based recurrent neural networks with time-varying delays and leakage delays

摘要

Purpose - The purpose of this paper is to investigate the existence and global exponential stability of periodic solution of memristor-based recurrent neural networks with time-varying delays and leakage delays. Design/methodology/approach - The differential inequality theory and some novel mathematical analysis techniques are applied. Findings - A set of sufficient conditions which guarantee the existence and global exponential stability of periodic solution of involved model is derived. Practical implications - It plays an important role in designing the neural networks. Originality/value - The obtained results of this paper are new and complement some previous studies. The innovation of this paper concludes two aspects: the analysis on the existence and global exponential stability of periodic solution of memristor-based recurrent neural networks with time-varying delays and leakage delays is first proposed; and it is first time to establish the sufficient criterion which ensures the existence and global exponential stability of periodic solution of memristor-based recurrent neural networks with time-varying delays and leakage delays.