Uniqueness of solutions of linear relay systems

Y.J. Lootsma, A.J. van der Schaft, M.K. Camlıbel

    Research output: Contribution to journalArticleAcademicpeer-review

    50 Citations (Scopus)


    Conditions are given for uniqueness of solutions of linear time-invariant systems under relay feedback. From a hybrid dynamical point of view this entails the deterministic specification of the discrete transition rules. The results are based on the formulation of relay systems as complementarity systems, and use the constructive theory of the Linear Complementarity Problem.
    Original languageEnglish
    Pages (from-to)467-478
    Number of pages12
    Issue number35
    Publication statusPublished - 1999


    • Relays
    • Well-posedness
    • Hybrid systems
    • Coulomb friction
    • Complementarity problems


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