CONTINUED FRACTION METHODS FOR THE REDUCTION OF LINEAR TIME-INVARIANT SYSTEMS.

Continued fraction methods are given for the reduction in order of single input/output linear time-invariant systems. It is shown how the algorithm of Chen and Shieh (see Engineering Index 1971 p 283 abstract 25903) may be used twice to derive biased reduced order models. It has been shown that Jordan-type continued fractions may be used to derive reduced order models, which are equivalent to those derived by a Cauer-type expansion. The advantage of using a Jordan-type continued fraction is that it is easier to compute and invert, especially when applied to the reduction of multivariable systems.