Order reduction of multi-time scale systems using bond graphs, the reciprocal system and the singular perturbation method
The singular perturbation method applied to multi-time scale processes enables the reduction of dimensionality by considering only one part of the system - the slow or the fast part - depending on the frequency domain of interest. The fast and slow dynamics of bond graph models can be estimated by determination of causal loop-gains. We define here the notion of a reciprocal system which, with singular perturbation techniques, can obtain more accuracy on the fast time scale behaviour of the system.
scientific article; zbMATH DE number 3943633