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Model reduction problem of linear discrete systems: Admissibles initial states

Abdelhak A., Rachik M.

Archives of Control Sciences

2019

Vol. 29, No. 1

41--55

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