Pole and Zero Retention in the Factorization of Multivariable Systems, With Application to Model Reduction

摘要

The problem of pole and zero retention in multivariable system reduction is regarded as the generation of a series factorization of the system transfer function matrix. Necessary and sufficient conditions for the existence of the factorization are derived in terms of the decomposition of the state space into A -variant and (A B)-invariant subspace.