Delay-dependent stochastic stability of delayed Hopfield neural networks with Markovian jump parameters |
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Authors: | Xuyang Lou |
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Institution: | Research Center of Control Science and Engineering, Southern Yangtze University, 1800 Lihu Rd., Wuxi, Jiangsu 214122, PR China |
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Abstract: | In this paper, the problem of stochastic stability for a class of time-delay Hopfield neural networks with Markovian jump parameters is investigated. The jumping parameters are modeled as a continuous-time, discrete-state Markov process. Without assuming the boundedness, monotonicity and differentiability of the activation functions, some results for delay-dependent stochastic stability criteria for the Markovian jumping Hopfield neural networks (MJDHNNs) with time-delay are developed. We establish that the sufficient conditions can be essentially solved in terms of linear matrix inequalities. |
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Keywords: | Hopfield neural networks Markovian jump parameters Stochastic stability Linear matrix inequality |
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