On the dissipativity of uncontrollable systems

Mehmet Camlibel, Jan C. Willems, Madhu N. Belur

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

13 Citations (Scopus)
200 Downloads (Pure)


This paper deals with dissipativity of uncontrollable linear time-invariant systems with quadratic supply rates and storage functions. A definition of dissipativity appropriate for this class of systems is given. We present a necessary and sufficient condition for dissipativeness in the single input / single output case.
Original languageEnglish
Title of host publicationProc. of the 42th IEEE Conference on Decision and Control
PublisherIEEE (The Institute of Electrical and Electronics Engineers)
Number of pages6
Publication statusPublished - 2003


  • observability
  • controllability
  • storage functions
  • dissipativity
  • behaviors

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