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

页码：103 / 114

页数：12

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