时变时滞不确定随机神经网络鲁棒稳定性分析

W. Feng, Wei Zhang, Haixia Wu
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引用次数: 2

摘要

研究了一类具有时变时滞和参数不确定性的随机神经网络的随机鲁棒稳定性问题。参数的不确定性是时变的和有范数的。基于Lyapunov-Krasovskii泛函和随机分析方法,用线性矩阵不等式(lmi)给出了新的稳定性判据,以保证延迟神经网络在所有允许的不确定性下均方稳健随机渐近稳定。数值算例验证了所提鲁棒稳定性准则的有效性。
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Robust Stability Analysis of Uncertain Stochastic Neural Networks with Time-Varying Delays
This paper is concerned with stochastic robust stability of a class of stochastic neural networks with time varying delays and parameter uncertainties. The parameter uncertainties are time-varying and norm-bounded. Based on Lyapunov-Krasovskii functional and stochastic analysis approaches, new stability criteria are presented in terms of linear matrix inequalities (LMIs) to guarantee the delayed neural network to be robustly stochastically asymptotically stable in the mean square for all admissible uncertainties. Numerical examples are given to demonstrate the usefulness of the proposed robust stability criteria.
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