4.4 Article

New Stability Criteria for Neural Networks with Distributed and Probabilistic Delays

期刊

CIRCUITS SYSTEMS AND SIGNAL PROCESSING
卷 28, 期 4, 页码 505-522

出版社

SPRINGER BIRKHAUSER
DOI: 10.1007/s00034-008-9092-1

关键词

Distributed delay; Exponential stability; Neural networks; Lyapunov-Krasovskii functional; Time-varying delay

资金

  1. National Natural Science Foundation of China [60528007, 60825303]
  2. Research Fund for the Doctoral Programme of Higher Education of China [20070213084]
  3. RGC HKU [7028/04P]
  4. EPSRC [EP/F029195]

向作者/读者索取更多资源

This paper is concerned with the stability analysis of neural networks with distributed and probabilistic delays. The probabilistic delay satisfies a certain probability distribution. By introducing a stochastic variable with a Bernoulli distribution, the neural network with random time delays is transformed into one with deterministic delays and stochastic parameters. New conditions for the exponential stability of such neural networks are obtained by employing new Lyapunov-Krasovskii functionals and novel techniques for achieving delay dependence. The proposed conditions reduce the conservatism by considering not only the range of the time delays, but also the probability distribution of their variation. A numerical example is provided to show the advantages of the proposed techniques.

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