LMI-based robust exponential stability criterion of impulsive integro-differential equations with uncertain parameters via contraction mapping theory

Advances in Difference Equations

Ruofeng Rao¹  Zhilin Pu²  Shouming Zhong³ 

[1] Department of Mathematics, Chengdu Normal University, Chengdu, China;Research Institute of Mathematical Education, Chengdu Normal University, Chengdu, China;Research Institute of Mathematics, Chengdu Normal University, Chengdu, China

关键词: contraction mapping theory;    integro-differential equations;    impulsive BAM neural networks;    robust exponential stability;    parameters uncertainty;   

DOI  :  10.1186/s13662-016-1059-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By formulating a new contraction mapping on a product space, the authors originally employed Banach fixed point theorem to derive the LMI-based robust exponential stability criterion for impulsive BAM neural networks with distributed delays and uncertain parameters. Numerical example illuminates that the new criterion is not worse than the existing results derived by Lyapunov functional method. Hence both the methods and the results of this paper are really novel to a certain extent.

【 授权许可】

CC BY