Exponential stability for a system of second and first order delay differential equations

Leonid Berezansky, Elena Braverman

Research output: Contribution to journalArticlepeer-review

Abstract

Exponential stability of the second order linear delay differential equation in x and u-control ẍ(t)+a1(t)ẋ(h1(t))+a2(t)x(h2(t))+a3(t)u(h3(t))=0is studied, where indirect feedback control u̇(t)+b1(t)u(g1(t))+b2(t)x(g2(t))=0 connects u with the solution. Explicit sufficient conditions guarantee that both x and u decay exponentially.

Original languageEnglish
Article number108127
JournalApplied Mathematics Letters
Volume132
DOIs
StatePublished - 1 Oct 2022

Keywords

  • A priori estimates
  • Bohl–Perron theorem
  • Exponential stability
  • Linear delayed differential system
  • Second order delay differential equation

ASJC Scopus subject areas

  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Exponential stability for a system of second and first order delay differential equations'. Together they form a unique fingerprint.

Cite this