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 Paper

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: Proceedings of the 2005 IEEE International Region 10 Conference
PublisherIEEE Computer Society
Number of pages6
ISBN (Print)0780393112
Publication statusPublished - 2005
EventIEEE Region Ten Conference -
Duration: 1 Jan 2006 → …

Conference

ConferenceIEEE Region Ten Conference
Period1/01/06 → …

Keywords

  • neural networks (computer science)
  • time delay systems
  • stability

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