Contraction analysis of switched systems via regularization

David Fiore, S. John Hogan, Mario Di Bernardo

Research output: Contribution to journalArticle (Academic Journal)peer-review

18 Citations (Scopus)
295 Downloads (Pure)


In this paper we study incremental stability and convergence of switched (bimodal) Filippov systems via contraction analysis. In particular, by using results on regularization of switched dynamical systems we derive sufficient conditions for convergence of any two trajectories of the Filippov system between each other within some region of interest. We then apply these conditions to the study of different classes of Filippov systems including piecewise smooth (PWS) systems, piecewise affine (PWA) systems and relay feedback systems. We show that the conditions allow the system to be studied in metrics other than the Euclidean norm. The theoretical results are illustrated by numerical simulations on a set of representative examples that confirm their effectiveness and ease of application.
Original languageEnglish
Pages (from-to)279-288
Number of pages10
Early online date13 Sep 2016
Publication statusPublished - Nov 2016


  • contraction theory
  • incremental stability
  • switching controllers
  • regularization


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