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|Title:||Passivity analysis for discrete-time stochastic markovian jump neural networks with mixed time delays|
|Citation:||IEEE Transactions on Neural Networks, 2011; 22(10):1566-1575|
|Publisher:||IEEE-Inst Electrical Electronics Engineers Inc|
|Zheng-Guang Wu, Peng Shi, Hongye Su, and Jian Chu|
|Abstract:||In this paper, passivity analysis is conducted for discrete-time stochastic neural networks with both Markovian jumping parameters and mixed time delays. The mixed time delays consist of both discrete and distributed delays. The Markov chain in the underlying neural networks is finite piecewise homogeneous. By introducing a Lyapunov functional that accounts for the mixed time delays, a delay-dependent passivity condition is derived in terms of the linear matrix inequality approach. The case of Markov chain with partially unknown transition probabilities is also considered. All the results presented depend upon not only discrete delay but also distributed delay. A numerical example is included to demonstrate the effectiveness of the proposed methods.|
|Keywords:||Humans; Linear Models; Markov Chains; Stochastic Processes; Algorithms; Neural Networks (Computer); Time Factors|
|Rights:||© 2011 IEEE|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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