ON STABILITY OF THE SECOND ORDER DELAY DIFFERENTIAL EQUATION: MATRIX INEQUALITY METHOD

L. Berezansky, A. Domoshnitsky

Research output: Contribution to journalArticlepeer-review

Abstract

Bohl-Perron theorem, a-priory solution estimates, M-matrix and matrix inequality methods are applied to obtain new exponential stability conditions for the following delay differential equation of the second order (Formular Presented) and some generalizations of the equation including equations with several delays, integrodifferential equations and equations with distributed delays.

Original languageEnglish
Pages (from-to)3-34
Number of pages32
JournalFunctional Differential Equations
Volume26
Issue number1-2
DOIs
StatePublished - 1 Jan 2019

Keywords

  • Bohl-Perron theorem
  • Exponential stability
  • M-matrix
  • equations with distributed delays
  • integrodifferential equations
  • matrix inequality method
  • second order delay differential equations

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Numerical Analysis
  • Mathematical Physics
  • Control and Optimization

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