Stability analysis via averaging functions

S. Pogromskiy, A.S. Matveev

Research output: Contribution to journalArticleAcademicpeer-review

13 Citations (Scopus)
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A new class of Lyapunov functions is proposed for analysis of incremental stability for nonlinear systems. This class of Lyapunov functions allows to establish input-dependent incremental stability criteria. Two substantially different situations are considered: when incremental stability is guaranteed by the inputs of sufficiently small amplitude and when, similar to the excited van der Pol oscillator, the stability is induced by sufficiently large inputs.

Original languageEnglish
Article number7163531
Pages (from-to)1081-1086
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number4
Publication statusPublished - 1 Apr 2016


  • Lyapunov methods
  • nonlinear systems
  • stability criteria

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