Affiliation:
1. College of Sciences, Northeastern University, Shenyang 110819, China
2. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, China
Abstract
In this paper, we first present multiple numerical simulations of the anti-symmetric matrix in the stability criteria for fractional order systems (FOSs). Subsequently, this paper is devoted to the study of the admissibility criteria for descriptor fractional order systems (DFOSs) whose order belongs to (0, 2). The admissibility criteria are provided for DFOSs without eigenvalues on the boundary axes. In addition, a unified admissibility criterion for DFOSs involving the minimal linear matrix inequality (LMI) variable is provided. The results of this paper are all based on LMIs. Finally, numerical examples were provided to validate the accuracy and effectiveness of the conclusions.
Funder
National Natural Science Foundation of China
National Key Research and Development Program of China
Xingliao Talent Program of Liaoning Province of China
Science and Technology Foundation of Liaoning Province of China
Fundamental Research Funds for the Central Universities of China
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