Simple tests for uniform exponential stability of a linear delayed vector differential equation

Josef Diblik, Leonid Berezansky, Zdenek Svoboda, Zdenek Smarda

Research output: Contribution to journalArticlepeer-review

Abstract

A linear delayed vector equation is investigated. The system is considered in the most general setting and under weak assumptions on the entries of matrices of linear terms and delays. The main result on uniform exponential stability is universal in the sense that it generates a set of independent explicit statements (that can depend on all delays)on uniform exponential stability. The advantages over the existing results are demonstrated. The main tools employed by the paper include Bohl-Perron theorem, a priori estimates of solutions, and transformations of differential equations.

Original languageEnglish
JournalIEEE Transactions on Automatic Control
DOIs
StateAccepted/In press - 1 Jan 2021

Keywords

  • Asymptotic stability
  • Bohl-Perron method
  • Control theory
  • Delay
  • Delays
  • Differential equations
  • Mathematical model
  • Mechanical variables measurement
  • Stability criteria
  • exponential stability
  • linear differential system
  • matrix measure
  • stability test

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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