Stability of time-delay systems via Wirtinger-based double integral inequality

Myeongjin Park, Ohmin Kwon, Ju H. Park, Sangmoon Lee, Eunjong Cha

Research output: Contribution to journalArticlepeer-review

364 Scopus citations

Abstract

Based on the Wirtinger-based integral inequality, a double integral form of the Wirtinger-based integral inequality (hereafter called as Wirtinger-based double integral inequality) is introduced in this paper. To show the effectiveness of the proposed inequality, two stability criteria for systems with discrete and distributed delays are derived within the framework of linear matrix inequalities (LMIs). The advantage of employing the proposed inequalities is illustrated via two numerical examples.

Original languageEnglish
Pages (from-to)204-208
Number of pages5
JournalAutomatica
Volume55
DOIs
StatePublished - 1 May 2015

Keywords

  • Lyapunov method
  • Stability analysis
  • Systems with time-delays
  • Time-invariant
  • Wirtinger-based integral inequality

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