ON THE POSITIVITY OF 2D FRACTIONAL LINEAR ROESSER MODEL USING THE CONFORMABLE DERIVATIVE

被引：0
|
作者：
Ghezzar, Mohammed Amine [1 ,2 ]
Berilha, Amel [3 ,4 ]
Benyettou, Kamel [3 ,4 ]
Bouagada, Djillali [3 ,4 ]
机构：
[1] Natl Higher Sch Math, Mahelma, Algeria
[2] Lab Pure & Appl Math, ACSY Team, POB 75, Sidi Abdellah 16093, Algiers, Algeria
[3] Abdelhamid Ibn Badis Univ Mostaganem, Mostaganem, Algeria
[4] ACSY Team, Fac SEI, Dept Math & Comp Sci, Lab Pure & Appl Math, BP 227-118, Mostaganem 27000, Algeria
来源：
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2023年 / 85卷 / 02期
关键词：
Positivity; Two-dimensional systems; Roesser model; Fractional; calculus; Conformable derivative; DISCRETIZATION STEP; STABILITY; STABILIZATION; SYSTEMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we focus on the positivity of 2D fractional linear hybrid systems (continuous- discrete time). Precisely, we investigate a new class of systems that are described by the Roesser model, in which the considered derivative is the conformable fractional derivative. A general solution is then given for these classes as well as necessary and sufficient conditions for their positivity. Finally, some numerical examples are given to illustrate our results.
引用
收藏
页码：103 / 114
页数：12
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