On the analysis of positivity and stabilization of fractional multidimensional discrete linear systems

被引：1

作者：

Miliani, Nisrine ^{[1
]}

Bouagada, Djillali ^{[1
]}

Benyettou, Kamel ^{[1
]}

机构：

[1] Abdelhamid Ibn Badis Univ Mostaganem, ACSY Team, Dept Math & Comp Sci, Lab Pure & Appl Math, POB 227-118, Mostaganem 27000, Algeria

来源：

INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2023年 / 12卷 / 4期

关键词：

Multidimensional systems; Rosser model; Fractional systems; Positivity; Gain matrix; Stabilization; STABILITY; MODELS;

D O I：

10.1007/s40435-023-01243-0

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The effectiveness of this paper lies in the analysis of the positivity and stabilization conditions of multidimensional fractional discrete linear systems. Moreover, we focused on stabilizing the considered class of models by using a new approach based on linear matrix inequalities. We derive and establish new stability conditions for the multidimensional discrete linear time systems using the gain matrix and a feedback matrix which guarantees the stabilization of the system state trajectory. We also provide some numerical examples to demonstrate the effectiveness of our proposed method.

引用

页码：1166 / 1179

页数：14

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