Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
01 February 2020 |
16 February 2020 |
10 March 2020 |
Abstract: Given a bilinear discrete system with initial state x0 and output function yi, we investigate a finite dimensional bilinear system that produces, with a constraint set Ω, the initials states x0 which satisfied the condition yi ∈Ω for all i ≥0, the set of all such initial states called K- Ω output admissible set, that we characterize by a finite number of inequalities. We propose also an algorithmic approach to verify the finitely determined of this set. Various numerical examples are given.