Further results on delay-dependent stability criteria of neural networks with time-varying delays

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Abstract

In this brief paper, an augmented Lyapunov functional, which takes an integral term of state vector into account, is introduced. Owing to the functional, an improved delay-dependent asymptotic stability criterion for delayed neural networks (NNs) is derived in term of linear matrix inequalities (LMIs). It is shown that the obtained criterion can provide less conservative result than some existing ones. When linear fractional uncertainties appear in NNs, a new robust delay-dependent stability condition is also given. Numerical examples are given to demonstrate the applicability of the proposed approach.

Original languageEnglish
Pages (from-to)726-730
Number of pages5
JournalIEEE Transactions on Neural Networks
Volume19
Issue number4
DOIs
StatePublished - Apr 2008
Externally publishedYes

Keywords

  • Asymptotic stability
  • Delay-dependent
  • Linear matrix inequality (LMI)
  • Neural networks (NNs)
  • Robust stability

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