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Stability analysis of time-varying delaysystem based on an improved Lyapunov function

  • Xinwei Wang
  • , Ying Zhang*
  • , Yumi Rong
  • *Corresponding author for this work
  • Shenzhen Institute of Information Technology
  • Harbin Institute of Technology Shenzhen

Research output: Contribution to journalArticlepeer-review

Abstract

We provide a new delay-range-dependent criterion for interval time-varying delay linear systems. By using Jensen inequality method and reciprocally convex combination technique, the upper bound of the derivative of our improved Lyapunov function can be estimated more tightly. And then newless conservative stability criteria are derived. Numerical examples are given to illustrate the effectiveness and the improvementof the proposed criterion.

Original languageEnglish
Pages (from-to)181-187
Number of pages7
JournalShenzhen Daxue Xuebao (Ligong Ban)/Journal of Shenzhen University Science and Engineering
Volume34
Issue number2
DOIs
StatePublished - 30 Mar 2017
Externally publishedYes

Keywords

  • Interval time-varying delay
  • Jensen integration
  • Linear matrix inequality
  • Lyapunov improved functional
  • Reciprocally convex combination
  • Stability criteria

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