Abstract
This paper considers D−admissibility of singular fractional order systems (SFOS) with the fractional order $\alpha : 0 \lt \alpha \lt 1$ case. The issue on D−admissibility of a matrix pair (E, A) in specific region is considered. By borrowing the D−admissibility region, the strict LMI criteria of admissibility and stabilization for SFOS are investigated and the criteria of admissibility and stabilization for singular fractional order systems for SFOS are presented. The conditions are expressed in terms of linear matrix inequality (LMIs) which can be easily calculated with standard feasible solution problem in MATLAB LMI toolbox. When α = 1, the results reduce to the condition of admissibility of integer order singular systems. Numerical examples are given to verify the effectiveness of the criteria.
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