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On complementarity measure-driven dynamical systems

Авторы: Staritsyn M., Goncharova E.

Журнал: Lecture Notes in Electrical Engineering

Том: 495

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Год: 2020

Отчётный год: 2020

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Аннотация: 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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