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Delay-Range-Dependent Global Robust Passivity Analysis of Discrete-Time Uncertain Recurrent Neural Networks with Interval Time-Varying Delay

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  • Chien-Yu Lu
  • Chin-Wen Liao
  • Hsun-Heng Tsai

Abstract

This paper examines a passivity analysis for a class of discrete-time recurrent neural networks (DRNNs) with norm-bounded time-varying parameter uncertainties and interval time-varying delay. The activation functions are assumed to be globally Lipschitz continuous. Based on an appropriate type of Lyapunov functional, sufficient passivity conditions for the DRNNs are derived in terms of a family of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness and applicability.

Suggested Citation

  • Chien-Yu Lu & Chin-Wen Liao & Hsun-Heng Tsai, 2009. "Delay-Range-Dependent Global Robust Passivity Analysis of Discrete-Time Uncertain Recurrent Neural Networks with Interval Time-Varying Delay," Discrete Dynamics in Nature and Society, Hindawi, vol. 2009, pages 1-14, October.
    • Handle: RePEc:hin:jnddns:430158
    DOI: 10.1155/2009/430158
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