Robust stability analysis of impulsive complex-valued neural networks with time delays and parameter uncertainties

Journal of inequalities and applications

Yuanshun Tan¹ 

关键词: complex-valued neural networks;    robust stability;    delay;    impulsive;   

DOI  :  10.1186/s13660-017-1490-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The present study considers the robust stability for impulsive complex-valued neural networks (CVNNs) with discrete time delays. By applying the homeomorphic mapping theorem and some inequalities in a complex domain, some sufficient conditions are obtained to prove the existence and uniqueness of the equilibrium for the CVNNs. By constructing appropriate Lyapunov-Krasovskii functionals and employing the complex-valued matrix inequality skills, the study finds the conditions to guarantee its global robust stability. A numerical simulation illustrates the correctness of the proposed theoretical results.

【 授权许可】

CC BY