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Delay-Dependent Exponential Stability of Stochastic Delayed Recurrent Neural Networks with Markovian Switching

Delay-Dependent Exponential Stability of Stochastic Delayed Recurrent Neural Networks with Markovian Switching
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摘要 The exponential stability problem is investigated for a class of stochastic recurrent neural networks with time delay and Markovian switching. By using Ito's differential formula and the Lyapunov stability theory, sufficient condition for the solvability of this problem is derived in term of linear matrix inequalities, which can be easily checked by resorting to available software packages. A numerical example and the simulation are exploited to demonstrate the effectiveness of the proposed results. The exponential stability problem is investigated for a class of stochastic recurrent neural networks with time delay and Markovian switching. By using It’s differential formula and the Lyapunov stability theory, sufficient condition for the solvability of this problem is derived in term of linear matrix inequalities, which can be easily checked by resorting to available software packages. A numerical example and the simulation are exploited to demonstrate the effectiveness of the proposed results.
出处 《Journal of Donghua University(English Edition)》 EI CAS 2008年第2期195-199,共5页 东华大学学报(英文版)
关键词 exponential stability stochastic recurrent neural network linear matrix inequality time delay Markovian switching 随机循环神经网络 指数稳定性 马尔可夫链 线性矩阵不等式
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参考文献7

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