Asymptotic properties of neutral type linear systems

Leonid Berezansky, Elena Braverman

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Exponential stability and solution estimates are investigated for a delay system x˙(t)−A(t)x˙(g(t))=∑k=1mBk(t)x(hk(t)) of a neutral type, where A and Bk are n×n bounded matrix functions, and g,hk are delayed arguments. Stability tests are applicable to a wide class of linear neutral systems with time-varying coefficients and delays. In addition, explicit exponential estimates for solutions of both homogeneous and non-homogeneous neutral systems are obtained for the first time. These inequalities are not just asymptotic estimates, they are valid on every finite segment and evaluate both short- and long-term behavior of solutions.

Original languageEnglish
Article number124893
JournalJournal of Mathematical Analysis and Applications
Volume497
Issue number2
DOIs
StatePublished - 15 May 2021

Keywords

  • Exponential estimates of solutions
  • Exponential stability
  • Linear neutral delay system
  • Matrix measure
  • Non-autonomous system

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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