
handle: 11449/168710
In this paper, the authors are concerned with non-smooth dynamical systems expressed by piecewise first order implicit differential equations. The sliding modes of such system around some typical singularities are investigated. When the Sotomayor-Teixeira regulization is applied, some singular perturbation problems arise.
non-smooth dynamical system, Non-smooth dynamical system, implicit differential equation, Discontinuous ordinary differential equations, Sliding vector fields, sliding vector fields, Singular perturbations for ordinary differential equations, Singular perturbation, Implicit differential equation, singular perturbation, Implicit ordinary differential equations, differential-algebraic equations
non-smooth dynamical system, Non-smooth dynamical system, implicit differential equation, Discontinuous ordinary differential equations, Sliding vector fields, sliding vector fields, Singular perturbations for ordinary differential equations, Singular perturbation, Implicit differential equation, singular perturbation, Implicit ordinary differential equations, differential-algebraic equations
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