Model reduction of stabilizable nonstationary LPV models

This paper provides a systematic approach for the model reduction of nonstationary linear parameter-varying (NLPV) models without the restriction that the model in question must be stable. The approach requires the development and use of coprime factorizations for NLPV models. For the general class of eventually periodic NLPV systems, which include periodic and finite horizon systems as special cases, our results can be explicitly computed using semidefinite programming.