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

被引：5
|
作者：
Benfatah, Youssef [1 ]
El Bhih, Amine [1 ]
Rachik, Mostafa [1 ]
Tridane, Abdessamad [2 ]
机构：
[1] Hassan II Univ, Fac Sci Ben MSik, Dept Math & Comp Sci, Lab Anal Modeling & Simulat, Casablanca BP 7955, Sidi Othman, Morocco
[2] United Arab Emirates Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2021年 / 19卷 / 11期
关键词：
Asymptotic stability; bilinear systems; constraint set; discrete-time systems; output admissible set; CONTROLLER;
D O I：
10.1007/s12555-020-0486-6
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Given a discrete-time controlled bilinear systems with initial state x(0) and output function y(i), we investigate the maximal output set Theta(omega) = {x(0) is an element of Double-struck capital R-n, y(i) is an element of omega, for all i >= 0} where omega is a given constraint set and is a subset of Double-struck capital R-p. Using some stability hypothesis, we show that Theta(omega) can be determined via a finite number of inequations. Also, we give an algorithmic process to generate the set Theta(omega). 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.
引用
收藏
页码：3551 / 3568
页数：18
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