MathematicsComputer ScienceEngineering

Chuangxia Huang, Hua Zhang

2019.3.13International Journal of Biomathematics

DOI: 10.1142/s1793524519500165

tlooto Summary

By combining Lyapunov function method with differential inequality approach, non-reduced order method is used to establish some novel assertions on the existence and generalized exponential stability of periodic solutions for the addressed model.

Abstract

This paper, mainly explores a class of non-autonomous inertial neural networks with proportional delays and time-varying coefficients. By combining Lyapunov function method with differential inequality approach, non-reduced order method is used to establish some novel assertions on the existence and generalized exponential stability of periodic solutions for the addressed model. In addition, an example and its numerical simulations are given to support the proposed approach.

Citation format

HUANG, Chuangxia; ZHANG, Hua. Periodicity of non-autonomous inertial neural networks involving proportional delays and non-reduced order method. International Journal of Biomathematics, 2019.