Nonlinear Sliding of Discontinuous Vector Fields and Singular Perturbation

Paulo Ricardo da Silva, Ingrid Sofia Meza-Sarmiento, Douglas Duarte Novaes

We consider piecewise smooth vector fields (PSVF) defined in open sets $M\subseteq R^n$ with switching manifold being a smooth surface $\Sigma$. The PSVF are given by pairs $X = (X_+, X…