Abstract We consider a class of complementarity hybrid systems performed by measure differential equations subject to “mixed constraints” on the measure and one-sided limits of the state (prior to and just after the jump). In such systems, vector Borel measures play the role of control inputs/slack variables. We try to understand the asymptotic behavior of solutions to the complementarity problem, namely, look for a constructive representation of the closure of the trajectory funnel. As we invent, a desired representation follows from a particular approximation of solutions and can be described in terms of a specific singular space-time transformation of measure-driven processes. The developed mathematical setup is naturally applied to modeling of Lagrangian systems controlled by instantaneous blocking/releasing a part of its degrees of freedom.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    On Complementarity Measure-driven Dynamical Systems


    Beteiligte:


    Erscheinungsdatum :

    18.04.2019


    Format / Umfang :

    20 pages





    Medientyp :

    Aufsatz/Kapitel (Buch)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    The Complementarity Class of Hybrid Dynamical Systems

    Heemels, W. P. M. H. / Brogliato, B. | British Library Online Contents | 2003


    On Linear Passive Complementarity Systems

    Camlibel, M. K. / Heemels, W. P. M. H. / Schumacher, J. M. | British Library Online Contents | 2002


    Complementarity Versus Uncertainty

    Van Huele, J.-F. S. / Morring, B. D. | British Library Conference Proceedings | 1998


    Substitution or Complementarity

    Tang, Lei / Ross, Hilary / Han, Xiaoli | Transportation Research Record | 2012


    Complementarity in biological systems: A complexity view

    Theise, N. D. / Kafatos, M. C. | British Library Online Contents | 2013