Research Communication | Open Access
Volume 2020 | Communication ID 216 |

On the Maximal Output Admissible Set for a Class of Bilinear Discrete System.

Benfatah Youssef, El Bhih Amine, Rachik Mostafa
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.