Stability analysis of a type of nonlinear time-delay control systems

Zhong Yan Li*, Shu Li Guo

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

The time delay of Lurie nonlinear systems, in which the origin of the nonlinear systems is the absolute stability, is estimated by using a Liapunov-Razumikhn function. Two sufficient conditions are obtained about absolutely stable criteria of nonlinear systems. A numerical example illustrates the effectiveness of the presented algorithm. We find that the key problem is how to choose τ, The value of τ depends on the set D that relates to Liapunov matrix Q. So the optimization (Qbestmax) is our objective. By using computer aided tools and Liapunov matrix equations, we can obtain the optimization τ.

Original languageEnglish
Title of host publicationProceedings of the 2006 International Conference on Machine Learning and Cybernetics
Pages978-982
Number of pages5
DOIs
Publication statusPublished - 2006
Event2006 International Conference on Machine Learning and Cybernetics - Dalian, China
Duration: 13 Aug 200616 Aug 2006

Publication series

NameProceedings of the 2006 International Conference on Machine Learning and Cybernetics
Volume2006

Conference

Conference2006 International Conference on Machine Learning and Cybernetics
Country/TerritoryChina
CityDalian
Period13/08/0616/08/06

Keywords

  • Bounded time-delay
  • Feedback input
  • Liapunov functional
  • Nonlinear system
  • Stability

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