Selected article for: "discrete time and SIR model"
Author: Benfatah, Youssef; El Bhih, Amine; Rachik, Mostafa; Tridane, Abdessamad
Title: On the Maximal Output Admissible Set for a Class of Bilinear Discrete-time Systems
  • Cord-id: 461eq1j6
  • Document date: 2021_9_2
    • ID: 461eq1j6
    Snippet: Given a discrete-time controlled bilinear systems with initial state x(0) and output function y(i), we investigate the maximal output set Θ(Ω) = {x(0) ∈ ℝ(n), y(i) ∈ Ω, ∀ i ≥ 0} where Ω is a given constraint set and is a subset of ℝ(p). 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). To illustrate our theoretical approach, we present some examples and numeri
    Document: Given a discrete-time controlled bilinear systems with initial state x(0) and output function y(i), we investigate the maximal output set Θ(Ω) = {x(0) ∈ ℝ(n), y(i) ∈ Ω, ∀ i ≥ 0} where Ω is a given constraint set and is a subset of ℝ(p). 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). To illustrate our theoretical approach, we present some examples and numerical simulations. Moreover, to demonstrate the effectiveness of our approach in real-life problems, we provide an application to the SI epidemic model and the SIR model.

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