Stability of neutral delay differential equations with applications in a model of human balancing

Alexander Domoshnitsky, Shai Levi, Ron Hay Kappel, Elena Litsyn, Roman Yavich

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

In this paper the exponential stability of linear neutral second order differential equations is studied. In contrast with many other works, coefficients and delays in our equations can be variable. The neutral term makes this object essentially more complicated for the study. A new method for the study of stability of neutral equation based on an idea of the Azbelev W-transform has been proposed. An application to stabilization in a model of human balancing has been described. New stability tests in explicit form are proposed.

Original languageEnglish
Article numbermmnp200320
JournalMathematical Modelling of Natural Phenomena
Volume16
DOIs
StatePublished - 2021

Keywords

  • Cauchy function
  • Cauchy functions
  • Delay equations
  • Exponential estimates of solutions
  • Uniform exponential stability

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