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An efficient algorithm for solving piecewise-smooth dynamical systems

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This article considers the numerical treatment of piecewise-smooth dynamical systems. Classical solutions as well as sliding modes up to codimension-2 are treated. An algorithm is presented that, in the case… Click to show full abstract

This article considers the numerical treatment of piecewise-smooth dynamical systems. Classical solutions as well as sliding modes up to codimension-2 are treated. An algorithm is presented that, in the case of non-uniqueness, selects a solution that is the formal limit solution of a regularized problem. The numerical solution of a regularized differential equation, which creates stiffness and often also high oscillations, is avoided.

Keywords: piecewise smooth; algorithm solving; smooth dynamical; efficient algorithm; dynamical systems

Journal Title: Numerical Algorithms
Year Published: 2021

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