Back to Search
Start Over
Stability Analysis of a Fractional-Order Linear System Described by the Caputo–Fabrizio Derivative
- Source :
- Mathematics, Vol 7, Iss 2, p 200 (2019)
- Publication Year :
- 2019
- Publisher :
- MDPI AG, 2019.
-
Abstract
- In this paper, stability analysis of a fractional-order linear system described by the Caputo⁻Fabrizio (CF) derivative is studied. In order to solve the problem, character equation of the system is defined at first by using the Laplace transform. Then, some simple necessary and sufficient stability conditions and sufficient stability conditions are given which will be the basis of doing research of a fractional-order system with a CF derivative. In addition, the difference of stability domain between two linear systems described by two different fractional derivatives is also studied. Our results permit researchers to check the stability by judging the locations in the complex plane of the dynamic matrix eigenvalues of the state space.
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 7
- Issue :
- 2
- Database :
- Directory of Open Access Journals
- Journal :
- Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.11f9086857614229b5aad14fc9573f63
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/math7020200