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. The concept of D stability region for these systems is also considered. Examples are provided to verify the applicability of our main result.

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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).