Numerical time integration of higher order dynamical systems with state constraints

Vincent Acary (1) , Bernard Brogliato (1)

1 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems

This work addresses the problem of the numerical time integration of the Moreau's Sweeping Process (MSP) and particularly one of its extensions: The higher order formulation. The goal of this paper is to give some hints and tricks on the ability of the proposed associated time-stepping scheme to deal with non smooth evolutions without explicit event-handling procedures. We present also new algorithms for solving higher order non smooth dynamical systems.

Domaines: Systèmes dynamiques [math.DS]; Modélisation et simulation

Vincent Acary, Bernard Brogliato. Numerical time integration of higher order dynamical systems with state constraints. ENOC-2005, Technical University Eindhoven Tu/e, Aug 2005, Eindhoven, Netherlands. ⟨inria-00424056⟩