Stability analysis of PE systems via Steklov's averaging technique

A.Y. Pogromsky, A.S. Matveev

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)


The paper presents a novel approach to justification of asymptotic stability of linear time-varying systems with persistently excited right-hand side. This approach combines the direct Lyapunov method with the Steklov averaging technique; its distinguishing feature is closed-form construction of the Lyapunov functional, along with resultant explicit estimates of the rate of convergency.

Original languageEnglish
Pages (from-to)138-144
Number of pages7
JournalInternational Journal of Adaptive Control and Signal Processing
Issue number1
Publication statusPublished - 1 Jan 2017


  • direct Lyapunov method
  • persistency of excitation


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