Stability of fractional-order nonlinear systems by Lyapunov direct method
Classical Analysis and ODEs
2018-01-16 v2
Abstract
In this paper, by using a characterization of functions having fractional derivative, we propose a rigorous fractional Lyapunov function candidate method to analyze stability of fractional-order nonlinear systems. First, we prove an inequality concerning the fractional derivatives of convex Lyapunov functions without the assumption on the existence of derivative of pseudo-states. Second, we establish fractional Lyapunov functions to fractional-order systems without the assumption on the global existence of solutions. Our theorems fill the gaps and strengthen results in some existing papers.
Keywords
Cite
@article{arxiv.1712.02921,
title = {Stability of fractional-order nonlinear systems by Lyapunov direct method},
author = {H. T. Tuan and Hieu Trinh},
journal= {arXiv preprint arXiv:1712.02921},
year = {2018}
}