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New LMT-based delay-dependent criterion for global asymptotic stability of cellular neural networks

机译:基于LMT的细胞神经网络全局渐近稳定性的基于时延的新准则

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摘要

The problem of global asymptotic stability analysis is studied fora class of cellular neural networks with time-varying delay. By defining a Lyapunov-Krasovskii functional, a new delay-dependent stability condition is derived in terms of linear matrix inequalities. The obtained criterion is less conservative than some previous literature because free-weighting matrix method and the Jensen integral inequality are considered. Three illustrative examples are given to demonstrate the effectiveness of the proposed results.
机译:针对一类具有时变时滞的细胞神经网络,研究了全局渐近稳定性分析的问题。通过定义一个Lyapunov-Krasovskii泛函,根据线性矩阵不等式推导了一个新的依赖于延迟的稳定性条件。由于考虑了自由加权矩阵法和Jensen积分不等式,因此所获得的准则比以前的文献更为保守。给出了三个说明性的例子来证明所提出的结果的有效性。

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