2015/09/19 by Augusto Ferrante, Ferrante, Augusto, Giorgio Picci +1
Engineering · Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Fuel Cells and Related Materials #Model Reduction and Neural Networks #Optimization and Control (math.OC) #Real-time simulation and control systems #math.DS #math.OC
paper · pdf · doi:10.48550/arxiv.1509.05868
arxiv created 2015/09/19 · openalex publication_date 2015/09/19 · arxiv updated 2015/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We obtain a general characterization of discrete-time all-pass rational matrix functions from state-space representations. It can be employed to address model reduction problems in the same vein of the theory developed by Glover in the continuous-time. Besides model reduction, this characterization is shown to be useful in a variety of contexts such as studying LMI's and Riccati equations and especially in the factorization of all-pass functions. The results are obtained in the most general setting, without introducing any \em ad hoc assumption.