On the Maximal Output Admissible Set for a Class of Bilinear Discrete-time Systems.

Given a discrete-time controlled bilinear systems with initial state and output function , we investigate the maximal output set Θ(Ω) = { ∈ ℝ , ∈ Ω, ∀ ≥ 0} where Ω is a given constraint set and is a subset of ℝ . Using some stability hypothesis, we show that Θ(Ω) can be determined via a finite number of inequations. Also, we give an algorithmic process to generate the set Θ(Ω).