Stability of Minimal Fractional Decompositions of Rational Matrix Functions
Israel Gohberg, Shlomi Rubinstein · Operator theory · 1986
The main result of this paper is the proof of stability of any regular minimal linear fractional decomposition of a rational matrix function under small perturbation of this function in its realization form. It is based on the description of all renular minimal linear fractional decompositions of a rational matrix valued function, given by J.W. Helton and J. Ball [2]. The motivation comes from the problem of minimal cascade decomposition of a time invariant linear system.