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Stability of Stochastic Discrete-Time Neural Networks with Discrete Delays and the Leakage Delay

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  • Liyuan Hou
  • Hong Zhu

Abstract

This paper investigates the stability of stochastic discrete-time neural networks (NNs) with discrete time-varying delays and leakage delay. As the partition of time-varying and leakage delay is brought in the discrete-time system, we construct a novel Lyapunov-Krasovskii function based on stability theory. Furthermore sufficient conditions are derived to guarantee the global asymptotic stability of the equilibrium point. Numerical example is given to demonstrate the effectiveness of the proposed method and the applicability of the proposed method.

Suggested Citation

  • Liyuan Hou & Hong Zhu, 2015. "Stability of Stochastic Discrete-Time Neural Networks with Discrete Delays and the Leakage Delay," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-13, September.
    • Handle: RePEc:hin:jnlmpe:306806
    DOI: 10.1155/2015/306806
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