Existence of solutions to MIMO relay feedback systems

C. Lin, Q. G. Wang, T. H. Lee

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


This note studies the existence of solutions to MIMO linear systems under decentralized relay feedback containing hysterisis. A necessary and sufficient condition is presented to guarantee the extended solutions at the so-called intersecting instant. The suggested method is to examine the sign of the first non-zero derivative of each output right after the switches occur. Illustrative examples are given to show the cases of non-existence and non-uniqueness of solutions.

Original languageEnglish
Pages (from-to)663-668
Number of pages6
JournalInternational Journal of Systems Science
Issue number10
Publication statusPublished - 15 Aug 2005
Externally publishedYes


  • Decentralized relay feedback
  • Hysterisis
  • Solution

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications


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