Stability margins for generalized fractional two-dimensional state space models

In this paper, a new class of bidimensional fractional linear systems is considered. The stability radius of the disturbed system is described according to the H ∞ norm. Sufficient conditions to ensure the stability margins of the closed-loop system are offered in terms of linear matrix inequalities...

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Bibliographic Details
Main Authors: Souad Salmi, Djillali Bouagada
Format: Article
Language:English
Published: Polish Academy of Sciences 2024-03-01
Series:Archives of Control Sciences
Subjects:
Online Access:https://journals.pan.pl/Content/130768/art02_int.pdf
Description
Summary:In this paper, a new class of bidimensional fractional linear systems is considered. The stability radius of the disturbed system is described according to the H ∞ norm. Sufficient conditions to ensure the stability margins of the closed-loop system are offered in terms of linear matrix inequalities. The concept of D stability region for these systems is also considered. Examples are provided to verify the applicability of our main result.
ISSN:1230-2384