LMI-based robust exponential stability criterion of impulsive integro-differential equations with uncertain parameters via contraction mapping theory
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- 作者：Ruofeng Rao ; Shouming Zhong ; Zhilin Pu
- 关键词：contraction mapping theory ; integro ; differential equations ; impulsive BAM neural networks ; robust exponential stability ; parameters uncertainty
- 刊名：Advances in Difference Equations
- 出版年：2017
- 出版时间：December 2017
- 年：2017
- 卷：2017
- 期：1
- 全文大小：1674KB
- 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
- 出版者：Springer International Publishing
- ISSN：1687-1847
- 卷排序：2017
文摘
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.