Controllability of a class of bimodal discrete-time piecewise linear systems

E. Yurtseven, M.K. Camlibel, W.P.M.H. Heemels

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review


In this paper we will provide algebraic necessary and sufficient conditions for the controllability/reachability/null controllability of a class of bimodal discrete-time piecewise linear systems including several instances of interest that are not covered by existing works which focus primarily on the planar case. In particular, the class is characterized by a continuous right-hand side, a scalar input and a transfer function from the control input to the switching variable with at most two zeroes whereas the state can be of any dimension. To arrive at the main result, we will make use of geometric control theory for linear systems and a novel result on controllability for input-constrained linear systems with non-convex constraint sets.

Original languageEnglish
Title of host publication2013 European Control Conference, ECC 2013
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Number of pages6
ISBN (Print)9783033039629
Publication statusPublished - 1 Dec 2013
Event12th European Control Conference (ECC 2013) - Zürich, Switzerland
Duration: 17 Jul 201319 Jul 2013
Conference number: 12


Conference12th European Control Conference (ECC 2013)
Abbreviated titleECC 2013
OtherEuropean Control Conference 2013
Internet address


  • Bimodal systems
  • controllability
  • hybrid systems
  • non-convex input constraint set
  • piecewise linear systems
  • reachability


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