New Delay-Dependent Exponential H ∞ Synchronization for Uncertain Neural Networks With Mixed Time Delays
New Delay-Dependent Exponential H ∞ Synchronization for Uncertain Neural Networks With Mixed Time Delays
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发表时间：
2009
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通讯作者：
H. R. Karimi;Huijun Gao
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作者：
H. R. Karimi;Huijun Gao
本文针对一类具有混合时滞的不确定主从神经网络（MSNN）建立了指数H∞同步方法，其中混合时延由不同的中性时延、离散时延和分布式时延组成。分别考虑多面体和范数有界不确定性。利用适当的离散 Lyapunov-Krasovskii 泛函和一些自由权矩阵来建立一些延迟相关的充分条件，用于设计延迟状态反馈控制作为限制较少的条件下线性矩阵不等式的同步律。控制器保证两个耦合 MSNN 的指数 H∞ 同步，无论其初始状态如何。与现有结果进行了详细比较，并进行了数值模拟，以证明所建立的同步定律的有效性。
This paper establishes an exponential H∞ synchronization method for a class of uncertain master and slave neural networks (MSNNs) with mixed time delays, where the mixed delays comprise different neutral, discrete, and distributed time delays. The polytopic and the norm-bounded uncertainties are separately taken into consideration. An appropriate discretized Lyapunov–Krasovskii functional and some free-weighting matrices are utilized to establish some delay-dependent sufficient conditions for designing delayed state-feedback control as a synchronization law in terms of linear matrix inequalities under less restrictive conditions. The controller guarantees the exponential H∞ synchronization of the two coupled MSNNs regardless of their initial states. Detailed comparisons with existing results are made, and numerical simulations are carried out to demonstrate the effectiveness of the established synchronization laws.