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arXiv · 1712.02921

Stability of fractional-order nonlinear systems by Lyapunov direct method

H. T. Tuan·Hieu Trinh
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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.

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BibTeXRIS

H. T. Tuan, Hieu Trinh. 2018-01-14. Stability of fractional-order nonlinear systems by Lyapunov direct method. https://arxiv.org/abs/1712.02921

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