Karimi Hamid Reza, Gao Huijun
Faculty of Technology and Science, University of Agder, 4898 Grimstad, Norway.
IEEE Trans Syst Man Cybern B Cybern. 2010 Feb;40(1):173-85. doi: 10.1109/TSMCB.2009.2024408. Epub 2009 Jul 28.
This paper establishes an exponential H(infinity) 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(infinity) 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.
本文针对一类具有混合时滞的不确定主从神经网络（MSNNs）建立了一种指数H∞同步方法，其中混合时滞包括不同的中立型、离散型和分布型时滞。分别考虑了多面体不确定性和范数有界不确定性。利用适当的离散化Lyapunov-Krasovskii泛函和一些自由加权矩阵，在限制较少的条件下，根据线性矩阵不等式建立了一些时滞依赖的充分条件，用于设计作为同步律的时滞状态反馈控制器。该控制器保证了两个耦合MSNNs的指数H∞同步，而与它们的初始状态无关。与现有结果进行了详细比较，并进行了数值模拟以验证所建立同步律的有效性。
