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An event-driven method to simulate Filippov systems with accurate computing of sliding motions

An event-driven method to simulate Filippov systems with accurate computing of sliding motions

This article describes how to use smooth solvers for simulation of a class of piecewise smooth systems of ordinary differential equations, called Filippov systems, with discontinuous vector fields. In these systems constrained motion along a discontinuity surface (so-called sliding) is possible and requires special treatment numerically. The introduced algorithms are …