An LMI approach to exponential stability analysis of neural networks with time-varying delay

Wu-Hua Chen, Xiaomei Lu, Zhi Hong Guan, Wei Xing Zheng

Research output: Chapter in Book / Conference PaperConference Paperpeer-review

Abstract

This paper focuses on the problem of delay-dependent stability analysis of neural networks with variable delay. Two types of variable delay are considered: one is differentiable and has bounded derivative; the other one is continuous and may vary very fast. By introducing a new type of Lyapunov-Krasovskii functional, new delay-dependent sufficient conditions for exponential stability of delayed neural networks are derived in terms of linear matrix inequalities. We also obtain delay-independent stability criteria. These criteria can be tested numerically and very efficiently using interior point algorithms. Two examples are presented which show our results are less conservative than the existing stability criteria.

Original languageEnglish
Title of host publicationTENCON 2005 - 2005 IEEE Region 10 Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Print)0780393112, 9780780393110
DOIs
Publication statusPublished - 2005
EventTENCON 2005 - 2005 IEEE Region 10 Conference - Melbourne, Australia
Duration: 21 Nov 200524 Nov 2005

Publication series

NameIEEE Region 10 Annual International Conference, Proceedings/TENCON
Volume2007
ISSN (Print)2159-3442
ISSN (Electronic)2159-3450

Conference

ConferenceTENCON 2005 - 2005 IEEE Region 10 Conference
Country/TerritoryAustralia
CityMelbourne
Period21/11/0524/11/05

Keywords

  • Delay-dependent criteria
  • Exponential stability
  • Linear matrix inequality (LMI)
  • Neural networks
  • Variable delay

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