Influence of Discretization Step on Asymptotic Stability of a Certain Class of Two-dimensional Continuous-discrete Fractional Linear Systems

• 作者: Souad BOUGUESSA Djillali BOUAGADA Mohammed Amine GHEZZAR
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2022,（1）
• 页码范围: 68-77
• 页数: 10页
• 语种: 英文

摘要

The effectiveness of this paper lies in the influence of the discretization step on the asymptotic stability of the positive two-dimensional fractional linear systems.It aims at investigating whether,how and when this step affects the asymptotically stable two-dimensional positive fractional linear continuous-discrete systems.To accomplish this study,a new test was outlined and used so that the asymptotic stability of the system was measured both before and after being exposed to the sampling step.Furthermore,the conditions of that stability were assessed.As a result,the outcome of the approximation shows that the stability is preserved under a particular set of conditions.On this basis,the newly proposed approach is recommended for testing the intended stability of such systems.A numerical example is tested to show the accuracy and the applicability of the proposed tests.