On the question of decomposition of multi-timescale systems dynamic models

The problem of decomposition of a multi-timescale systems dynamic model is considered in this paper. The specific feature of these systems is the simultaneous presence of processes with essentially different speeds of free components of motions. The description model is represented by a singularly perturbed system of differential equations. The conditions are examined that allow reduction of the order of the system model: the checking of these conditions causes the greatest difficulty in practice. Research results are given as an iterative procedure requiring no special knowledge of singularly perturbed systems of differential equations.