Research Communication | Open Access
Volume 2021 | Communication ID 107
Volume 2021 | Communication ID 107
| On the maximal output admissible set for a class of bilinear discrete-time systems |
Amine El Bhih, Youssef Benfatah, Mostafa Rachik, Abdessamad Tridane
Received |
Accepted |
Published |
January 28, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: 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)∈Rⁿ │ 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 ...