Discontinuous ordinary differential equations and stabilization

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A very accurate method to approximate discontinuous functions with a finite number of discontinuities (2016, background): “replacement in whatever computational task and when solving differential equations with discontinuous terms [21-23].”
On the Rendezvous Problem for Multiple Nonholonomic Agents (2007, background): “Lyapunov theorems have been extended to nonsmooth systems in [4] and [22].”
Birth of limit cycles bifurcating from a nonsmooth center (2014, background): “According to Newton’s second law (see [7]), the system evolution is described by”