Anti-Periodic Solutions for Neural Networks with Delays and Impulses

Mathematical and Computational Applications

Shi, Peilin¹ 

关键词: artificial neural networks (ANN);    anti-periodic solutions;    delays;    impulses;    exponential stability;   

DOI  :  10.3390/mca18010050

学科分类：计算数学

来源: mdpi

【 摘 要 】

In this paper we investigate a class of artificial neural networks with delays subject to periodic impulses. By exploiting Lyapunov functions, we analyze the global exponential stability of an arbitrary solution with initial value being bounded by Υ . Further, we discuss the existence of anti-periodic solutions by constructing fundamental function sequences based on a solution with initial value being bounded by γ . We also establishsufficientconditionstoensuretheexistence,uniquenessandexponential stability of anti-periodic solutions, which are new and easily verifiable. At last, we present a network with its time-series and phase graphics to demonstrate our results.

【 授权许可】

CC BY