A Study of Transitions in Dynamic Behavior of Physical Systems

Pieter J. Mosterman
Institute for Robotics and System Dynamics
DLR Oberpfaffenhofen

Feng Zhao
Department of Computer and Information Science
The Ohio State University

Gautam Biswas
Department of Computer Science
Vanderbilt University


This paper develops a classification of transition behaviors for hybrid dynamic systems. Physical system behaviors often comprise of multiple temporal and spatial scales. A hybrid system model abstracts the operational domain of a continuous system into patches of similar behaviors. Behaviors in each patch are described by simpler models. When state variables cross threshold values, the system makes discrete transitions from one patch to another. We assign physical semantics to the transition behaviors in order to develop a compositional modeling framework and self-consistent simulators for hybrid systems.

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