Given a linear discrete system with initial state x0 and output function yi , we investigate a low dimensional linear systemthat produces, with a tolerance index ǫ, the same output function when the initial state belongs to a specified set, called ǫ-admissible set, that we characterize by a finite number of inequalities. We also give an algorithm which allows us to determine an ǫ-admissible set.

JO - Archives of Control Sciences L1 - http://journals.pan.pl/Content/111267/PDF/03_art_ACS-2019-1_INTERNET.pdf L2 - http://journals.pan.pl/Content/111267 IS - No 1 EP - 55 KW - linear discrete systems KW - model order reduction ER - A1 - Abdelhak, A. A1 - Rachik, M. PB - Committee of Automatic Control and Robotics PAS VL - vol. 29 JF - Archives of Control Sciences SP - 41 T1 - Model reduction problem of linear discrete systems: Admissibles initial states UR - http://journals.pan.pl/dlibra/docmetadata?id=111267 DOI - 10.24425/acs.2019.127522