About an Alternative Method of Numerical Iteration for State Event Finding and Handling in System Simulation of Hybrid Dynamical Systems

This Paper is about an alternative iteration method to find state events in a hybrid dynamical system simulation. A method introduced in context of numerical computation of Poincare maps can be used to iterate a state event in some special scenarios. Classical ODE solver can be used for this task so no additional algorithms are needed only the mathematical framework has to be adapted. The paper will show this usage in system simulation and establish the context to standard numerical procedures. In the end of the contribution the implementation of this method on a simple example out of ARGESIM Benchmark will be demonstrated.