A generalized Cauer third continued‐fraction expansion and its application to model reduction

Abstract

This paper presents a generalized Cauer third continued‐fraction expansion about s = a and s = 8. A new algorithm is derived obtain this new form of continued‐fraction expansion from the coefficients of the power series of a transfer function expanded about s = 8. Two Cauer third CFE canonical state‐space models are introduced, and their connections to a general state‐space model and a phase variable canonical state‐space model are also developed. Application of the generalized Cauer third CFE method to the problem of model reduction is demonstrated.

Key words:

• model reduction
• linear system
• continued fractions

Notes

Correspondence addressee