We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Stability of fractional‐order nonlinear systems by Lyapunov direct method.
- Authors
Tuan, Hoang T.; Trinh, Hieu
- Abstract
In this study, by using a characterisation of functions having a fractional derivative, the authors propose a rigorous fractional Lyapunov function candidate method to analyse the stability of fractional‐order nonlinear systems. First, they prove an inequality concerning the fractional derivatives of convex Lyapunov functions without the assumption of the existence of the derivative of pseudo‐states. Second, they establish fractional Lyapunov functions to fractional‐order systems without the assumption of the global existence of solutions. Their theorems fill the gaps and strengthen results in some existing papers.
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2018, Vol 12, Issue 17, p2417
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2018.5233