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首页> 外文期刊>Advances in Difference Equations >LMI-based robust exponential stability criterion of impulsive integro-differential equations with uncertain parameters via contraction mapping theory
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LMI-based robust exponential stability criterion of impulsive integro-differential equations with uncertain parameters via contraction mapping theory

机译:基于LMI的具有不确定参数的脉冲积分微分方程的鲁棒指数稳定性准则

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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.
机译:通过在乘积空间上制定新的收缩映射,作者最初采用Banach不动点定理来推导基于LMI的鲁棒指数稳定性准则,用于具有分布时滞和不确定参数的脉冲BAM神经网络。数值算例表明,新判据并不比李雅普诺夫泛函方法得出的现有结果差。因此,本文的方法和结果在一定程度上确实是新颖的。

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