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- Title
Stability of fractional-order nonlinear systems by Lyapunov direct method.
- Authors
Tuan, Hoang T.; Hieu Trinh
- 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.
- Subjects
LYAPUNOV functions; NONLINEAR systems; FRACTIONAL calculus; FRACTIONAL differential equations; MATHEMATICS theorems
- 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