Abstract
A decomposition method may be classified as near-optimization method of linear regulators with small parameters.
To increase the accuracy of approximation, it might be recommended to increase the order of the unperturbed system; but it will require a tedious and laborious calculation.
A method, the so-called “repeated-decomposition” is developed to circumvent the difficulty.
This is composed of iterations of decompositions in the expanded unperturbed systems. The repeated-decomposition method will have less calculation keeping the same degree of approximation.