Superstability of linear switched systems

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5 Citations (Scopus)


This paper applies the concept of superstability to switched linear systems as a particular case of linear time-varying systems. A generalised concept of superstability, applied to complex matrices, and extended superstability, is introduced in order to obtain a new result for guaranteeing the asymptotic stability of a switched system under arbitrary switching. The relation between extended superstable and stable simultaneously triangularizable sets of matrices is also discussed. It is shown that stable triangularizable matrices are a proper subset of extended superstable ones, pointing out that the presented stability result is a generalisation of the previous well-known stability theorems to a broader class of switched dynamical systems. © 2013 Taylor & Francis.
Original languageEnglish
Pages (from-to)2402-2410
JournalInternational Journal of Systems Science
Publication statusPublished - 2 Nov 2014


  • Simultaneous triangularization
  • Stability
  • Superstability
  • Switched systems


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