Journal
IEEE TRANSACTIONS ON NEURAL NETWORKS
Volume 22, Issue 10, Pages 1566-1575Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNN.2011.2163203
Keywords
Markovian jumping parameters; neural networks; passivity; piecewise homogeneous; time delays
Categories
Funding
- National Creative Research Groups Science Foundation of China [60721062]
- National High Technology Research and Development Program of China 863 Program [2006AA04 Z182]
- National Natural Science Foundation of China [60736021]
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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.
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