An Improved Delay-dependent Stability Criteria for Recurrent Neural Networks with Time-varying Delay

Zhuo Wang, Chenghong Wang, Su Song
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Abstract

Combining the concept of sampling control with free weight matrix method, two delay-dependent asymptotic stability criteria are presented for the equilibrium point of a class of recurrent neural networks with time varying delay. The obtained results can be suitable for fast or slowly time-varying delayed recurrent neural networks, and larger upper bound of time delay can be admitted. Comparisons are made by a numerical example to show the effectiveness of the obtained results.
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一种改进的时变时滞递归神经网络的时滞相关稳定性准则
将抽样控制的概念与自由权矩阵法相结合,给出了一类时变时滞递归神经网络平衡点的两个时滞相关渐近稳定性判据。所得结果可适用于快时变或慢时变时滞递归神经网络,并允许较大的时滞上界。通过数值算例进行了比较,验证了所得结果的有效性。
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