Abstract
Given a discrete-time controlled bilinear systems with initial state x0 and output function yi, we investigate the maximal output set Θ(Ω) = {x0 ∈ ℝn, yi ∈ Ω, ∀ i ≥ 0} where Ω is a given constraint set and is a subset of ℝp. 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.
Original language | English |
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Pages (from-to) | 3551-3568 |
Number of pages | 18 |
Journal | International Journal of Control, Automation and Systems |
Volume | 19 |
Issue number | 11 |
DOIs | |
Publication status | Published - Nov 2021 |
Keywords
- Asymptotic stability
- bilinear systems
- constraint set
- discrete-time systems
- output admissible set
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications