Contraction and incremental stability of switched Carathéodory systems using multiple norms

Wenlian Lu, Mario di Bernardo

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

7 Citations (Scopus)
285 Downloads (Pure)


In this paper, incremental exponential asymptotic stability of a class of switched Caratheodory nonlinear systems is studied based on the novel concept of measure of switched matrices via multiple norms and the transaction coefficients between these norms. This model is rather general and includes the case of staircase switching signals as a special case. Sufficient conditions are derived for incremental stability allowing for the system to be incrementally exponentially asymptotically stable even if some of its modes are unstable in some time periods. Numerical examples on switched linear systems switching periodically and on the synchronization of switched networks of nonlinear systems are used to illustrate the theoretical results.
Original languageEnglish
Pages (from-to)1-8
Number of pages8
Early online date15 Apr 2016
Publication statusPublished - Aug 2016


  • Contraction
  • Incremental stability
  • Switched Carathéodory system
  • Synchronization

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