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Fixed Points and Exponential Stability for Impulsive Time-Delays BAM Neural Networks via LMI Approach and Contraction Mapping Principle

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  • Ruofeng Rao
  • Zhilin Pu
  • Shouming Zhong
  • Xinggui Li

Abstract

The fixed point technique has been employed in the stability analysis of time-delays bidirectional associative memory (BAM) neural networks with impulse. By formulating a contraction mapping in a product space, a new LMI-based exponential stability criterion was derived. Lately, fixed point methods have educed various good results inspiring this work, but those criteria cannot be programmed by a computer. In this paper, LMI conditions of the obtained result can be applicable to computer Matlab LMI toolbox which meets the need of the large-scale calculation in real engineering. Moreover, a numerical example and a comparable table are presented to illustrate the effectiveness of the proposed methods.

Suggested Citation

  • Ruofeng Rao & Zhilin Pu & Shouming Zhong & Xinggui Li, 2016. "Fixed Points and Exponential Stability for Impulsive Time-Delays BAM Neural Networks via LMI Approach and Contraction Mapping Principle," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-8, October.
    • Handle: RePEc:hin:jnlmpe:3154683
    DOI: 10.1155/2016/3154683
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