Modeling and Stability Analysis of the Dynamic Behavior in Load Sharing Systems

The main goal of this work is the development of suitable multi-agent based models of real technical systems. As an example we use a simple load sharing system consisting of cooperating robotic units. In order to get a deeper insight and better understanding of the dynamics occurring in such systems, we have to simulate and analyze the dynamical behavior of this models. This requires an adequate mathematical representation of the multi-agent systems. For this representation we use in our work dynamical systems with non-continuous step-functions. However, this kind of representation as well as the applied analysis methods are not specific for multi-agent systems, but also suitable for a much broader class of technical systems.