Stability margins for generalized fractional two-dimensional state space models

• Autorzy: Salmi Souad , Bouagada Djillali

Identyfikatory

DOI

10.24425/acs.2024.149650

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fractional 2D system; stability radius; stability region; linear matrix inequalities

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2024
• Tom: Vol. 34, No. 1
• Strony: 23--37
• Opis fizyczny: Bibliogr. 25 poz., wzory

Twórcy

autor

Salmi Souad

• Department of Mathematics and Computer Science, ACSY Team-Laboratory of Pure and Applied Mathematics, Abdelhamid Ibn Badis University Mostaganem, P.O. Box 227/118, 27000 Mostaganem, Algeria

autor

Bouagada Djillali

• National Higher School of Mathematics, Scientific and Technology Hub of Sidi Abdellah, ACSY Team-Laboratory of Pureand Applied Mathematics (UMAB), P.O. Box 75, Algiers 16093, Algeria

• https://orcid.org/0000-0002-0691-8360

Bibliografia

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Uwagi

This paper presents research results of the ACSY-Team (Analysis & Control systems team) and of the doctorial training on the Operational Research and Decision Support from the Pure and Applied Mathematics Laboratory, UMAB, funded by the General Directorate for Scientific Research and Technological Development of Algeria (DGRSDT) and supported by Abdelhamid Ibn Badis University-Mostaganem (UMAB) and initiated by the concerted research project on Control and Systems theory (PRFU Project Code C00L03UN270120200003).