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.


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    Title :

    On Complementarity Measure-driven Dynamical Systems


    Contributors:


    Publication date :

    2019-04-18


    Size :

    20 pages





    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English




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