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LMI-Based Stability Criteria for Discrete-Time Neural Networks with Multiple Delays

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  • Hui Xu
  • Ranchao Wu

Abstract

Discrete neural models are of great importance in numerical simulations and practical implementations. In the current paper, a discrete model of continuous-time neural networks with variable and distributed delays is investigated. By Lyapunov stability theory and techniques such as linear matrix inequalities, sufficient conditions guaranteeing the existence and global exponential stability of the unique equilibrium point are obtained. Introduction of LMIs enables one to take into consideration the sign of connection weights. To show the effectiveness of the method, an illustrative example, along with numerical simulation, is presented.

Suggested Citation

  • Hui Xu & Ranchao Wu, 2013. "LMI-Based Stability Criteria for Discrete-Time Neural Networks with Multiple Delays," Advances in Mathematical Physics, Hindawi, vol. 2013, pages 1-6, June.
    • Handle: RePEc:hin:jnlamp:732406
    DOI: 10.1155/2013/732406
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