Editorial Board

JMI2010A-11 ARX models for time-varying systems estimated by recursive penalized weighted least squares method (pp.109-114)

Author(s): Pan Qin, Ryuei Nishii, Tadashi Nakagawa and Takayoshi Nakamoto

J. Math-for-Ind. 2A (2010) 109-114.

We consider the modeling problem for time-varying systems by Auto-Regressive models with eXogenous variables (ARX) models. To track the variations of time-varying systems, we propose a new Recursive Penalized Weighted Least Squares (RPWLS) method to estimate the ARX models. Furthermore, by virtue of Generalized Information Criterion, the proper ARX models by RPWLS are selected. Numerical examples are provided to verify the performance of the proposed RPWLS method.

Keyword(s).  ARX model, Time-varying systems, GIC, Model selection