Back to Search
Start Over
Comments on “Fractional order Lyapunov stability theorem and its applications in synchronization of complex dynamical networks”.
- Source :
-
Communications in Nonlinear Science & Numerical Simulation . Aug2015, Vol. 25 Issue 1-3, p145-148. 4p. - Publication Year :
- 2015
-
Abstract
- This letter shows an incorrect application of the chain rule for fractional order derivatives reported in paper (Chen et al., 2014). Due to this misleading application, the proof of Theorem 2 and Theorem 5 in Chen et al., (2014) are incorrect. However, the mentioned Theorem 2 is a straightforward conclusion from results already available in literature (Jarad et al., 2013; Matignon 1996), and consequently there is no need to prove it, as it is stated in this letter. In the same way, although the proof of Theorem 5 in Chen et al. (2014) is not valid, Theorem 5 is indeed true, and a recommendation as to how to prove it is made to the authors. Besides, this letter shows that the proposed Theorem 1 in Chen et al., (2014) is also a straightforward conclusion from well known results available in literature (Jarad et al., 2013; Slotine and Li, 1999), so no demonstration is needed for this result neither. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10075704
- Volume :
- 25
- Issue :
- 1-3
- Database :
- Academic Search Index
- Journal :
- Communications in Nonlinear Science & Numerical Simulation
- Publication Type :
- Periodical
- Accession number :
- 101935842
- Full Text :
- https://doi.org/10.1016/j.cnsns.2015.01.013