Complete stability of cellular neural networks with time-varying delays

Zhigang G. Zeng, Jun Wang

Research output: Contribution to journalArticlepeer-review

109 Citations (Scopus)

Abstract

In this paper, the complete stability of cellular neural networks with time-varying delays is analyzed using the induction method and the contraction mapping principle. Delay-dependent and delay-independent conditions are obtained for locally stable equilibrium points to be located anywhere, which differ from the existing results on complete stability where the existence of equilibrium points in the saturation region is necessary for complete stability and locally stable equilibrium points can be in the saturation region only. In addition, some existing stability results in the literature are special cases of a new result herein. Simulation results are also discussed by use of two illustrative examples.

Original languageEnglish
Pages (from-to)944-955
Number of pages12
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Volume53
Issue number4
DOIs
Publication statusPublished - Apr 2006
Externally publishedYes

Keywords

  • Cellular neural networks (CNNs)
  • Complete stability
  • Contraction mapping principle
  • Mathematical induction
  • Time-varying delays

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