Singular perturbation modelling of large-scale systems with multi-time-scale property

The problem is investigated of singular perturbation modelling, which plays an important role in cases of the application of the singular perturbation method to the design and analysis of large-scale systems. In both continuous- and discrete-time versions, modelling concepts based on structural properties are studied, and computer-oriented algorithms are developed. The results of two-time-scale systems are extended to multi-time-scale cases. Furthermore, in order to verify the validity of these studies, some numerical examples are given.