A positivity-based approach to delay-dependent stability of systems of second order equations

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Abstract

In this paper, new explicit tests for exponential stability of systems of second order equations are proposed. Our approach is based on nonoscillation of solutions of the corresponding diagonal scalar second order delay differential equations.

Original languageEnglish
Title of host publication6th International Conference on New Trends in the Applications of Differential Equations in Sciences, NTADES 2019
EditorsAngela Slavova
ISBN (Electronic)9780735419049
DOIs
StatePublished - 2 Oct 2019
Event6th International Conference on New Trends in the Applications of Differential Equations in Sciences, NTADES 2019 - St. Constantine and Helena, Bulgaria
Duration: 1 Jul 20194 Jul 2019

Publication series

NameAIP Conference Proceedings
Volume2159
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference6th International Conference on New Trends in the Applications of Differential Equations in Sciences, NTADES 2019
Country/TerritoryBulgaria
CitySt. Constantine and Helena
Period1/07/194/07/19

Keywords

  • Time-delay systems
  • exponential stability
  • positive systems

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