Stability of retarded systems with slowly varying coefficient

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Abstract

The "freezing" method for ordinary differential equations is extended to multivariable retarded systems with distributed delays and slowly varying coefficients. Explicit stability conditions are derived. The main tool of the paper is a combined usage of the generalized Bohl-Perron principle and norm estimates for the fundamental solutions of the considered equations.

Original languageEnglish
Pages (from-to)877-888
Number of pages12
JournalESAIM - Control, Optimisation and Calculus of Variations
Volume18
Issue number3
DOIs
StatePublished - 1 Jul 2012

Keywords

  • Generalized Bohl-Perron principle
  • Linear retarded systems
  • Stability

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