A new augmented Lyapunov-Krasovskii functional approach to exponential passivity for neural networks with time-varying delays

O. M. Kwon, Ju H. Park, S. M. Lee, E. J. Cha

Research output: Contribution to journalArticlepeer-review

56 Scopus citations

Abstract

In this paper, the problem of exponential passivity analysis for uncertain neural networks with time-varying delays is considered. By constructing new augmented Lyapunov-Krasovskii's functionals and some novel analysis techniques, improved delay-dependent criteria for checking the exponential passivity of the neural networks are established. The proposed criteria are represented in terms of linear matrix inequalities (LMIs) which can be easily solved by various convex optimization algorithms. A numerical example is included to show the superiority of our results.

Original languageEnglish
Pages (from-to)10231-10238
Number of pages8
JournalApplied Mathematics and Computation
Volume217
Issue number24
DOIs
StatePublished - 15 Aug 2011

Keywords

  • Exponential passivity
  • LMI
  • Lyapunov method
  • Neural networks
  • Time-varying delays

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