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Further Stability Criterion on Delayed Recurrent Neural Networks Based on Reciprocal Convex Technique

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  • Guobao Zhang
  • Tao Li
  • Shumin Fei

Abstract

Together with Lyapunov-Krasovskii functional theory and reciprocal convex technique, a new sufficient condition is derived to guarantee the global stability for recurrent neural networks with both time-varying and continuously distributed delays, in which one improved delay-partitioning technique is employed. The LMI-based criterion heavily depends on both the upper and lower bounds on state delay and its derivative, which is different from the existent ones and has more application areas as the lower bound of delay derivative is available. Finally, some numerical examples can illustrate the reduced conservatism of the derived results by thinning the delay interval.

Suggested Citation

  • Guobao Zhang & Tao Li & Shumin Fei, 2012. "Further Stability Criterion on Delayed Recurrent Neural Networks Based on Reciprocal Convex Technique," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-14, September.
    • Handle: RePEc:hin:jnlmpe:829037
    DOI: 10.1155/2012/829037
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