Completeness on the stability criterion of fractional order LTI systems. (English) Zbl 1365.34021
From the past few decades, researchers are applying the concept of fractional order system to study various problems in engineering. There are many generalizations, this work is about the stability of a fractional LTI system. The authors use the definition of fractional order positive definite to derive a set of equivalent stability criteria. The results are given in terms of linear matrix inequalities. Furthermore, the authors discuss the properties of these criteria such as completeness, singularity, conservatism, etc. At the end, a pictorial illustration is given to demonstrate the effectiveness of the obtained results.
Reviewer: Syed Abbas (Mandi)
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34D10 | Perturbations of ordinary differential equations |
| 93D09 | Robust stability |
| 93D21 | Adaptive or robust stabilization |
| 34D20 | Stability of solutions to ordinary differential equations |
| 34A30 | Linear ordinary differential equations and systems |
Keywords:
fractional order systems; stability criterion; fractional order positive definite; linear matrix inequalityReferences:
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