A positivity-based approach to delay-dependent stability of systems with large time-varying delays

Alexander Domoshnitsky, Emilia Fridman

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

In this paper we propose new explicit tests for positivity and exponential stability of systems with large time-varying delays. Our approach is based on nonoscillation of solutions of the corresponding diagonal scalar delay differential equations. Numerical examples illustrate the efficiency of the results.

Original languageEnglish
Pages (from-to)139-148
Number of pages10
JournalSystems and Control Letters
Volume97
DOIs
StatePublished - 1 Nov 2016

Keywords

  • Exponential stability
  • Positive systems
  • Time-delay systems

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