Fractional output stabilization for a class of bilinear distributed systems

被引：0
作者：
Hanaa Zitane
Rachid Larhrissi
Ali Boutoulout
机构：
[1] University of Moulay Ismail,MACS Laboratory, Department of Mathematics
来源：
Rendiconti del Circolo Matematico di Palermo Series 2 | 2020年 / 69卷
关键词：
Bilinear distributed systems; Fractional spatial derivative; Strong stabilization; Weak stabilization; Riemann–Liouville; 93D15; 93C10;
D O I：
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学科分类号：
摘要：
In this paper, we consider the question of the state fractional spatial derivative stabilization, using Riemann–Liouville derivative of order α∈]0,1[\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha \in ]0, 1[$$\end{document}, for a class of bilinear distributed systems. Firstly, we characterize the feedback control that ensure the strong and the weak stabilization of the fractional output. Then, we solve a minimization fractional problem. Finally, we provide an example with numerical simulations to illustrate the effectiveness of the given stabilization theorems.
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页码：737 / 752
页数：15
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