Stability margins for generalized fractional two-dimensional state space models

Abstract

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.

Keywords

• fractional 2d systems
• stability radius
• stability region
• linear matrix inequalities