期刊
MATHEMATICAL MODELLING AND ANALYSIS
卷 22, 期 4, 页码 503-513出版社
VILNIUS GEDIMINAS TECH UNIV
DOI: 10.3846/13926292.2017.1329755
关键词
fractional order system; nonlinear differential equation; stability
类别
资金
- Natural Science Foundation of Jiangsu Province of China [BK20161126]
- Graduate Innovation Project of Jiangsu Province [KYLX16 0778]
This paper investigates fractional order Barbalat's lemma and its applications for the stability of fractional order nonlinear systems with Caputo fractional derivative at first. Then, based on the relationship between Caputo fractional derivative and Riemann-Liouville fractional derivative, fractional order Barbalat's lemma with Riemann-Liouville derivative is derived. Furthermore, according to these results, a set of new formulations of Lyapunov-like lemmas for fractional order nonlinear systems are established. Finally, an example is presented to verify the theoretical results in this paper.
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