Journal
ISA TRANSACTIONS
Volume 88, Issue -, Pages 82-90Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.isatra.2018.12.016
Keywords
Discrete fractional calculus; Lyapunov function; Asymptotic stability; Young inequality
Categories
Funding
- National Natural Science Foundation of China [61601431, 61573332]
- Anhui Provincial Natural Science Foundation, China [1708085QF141]
- Fundamental Research Funds for the Central Universities [WK2100100028]
- General Financial Grant from the China Postdoctoral Science Foundation [2016M602032]
Ask authors/readers for more resources
This paper focuses on the fractional difference of Lyapunov functions related to Riemann-Liouville, Caputo and Grunwald-Letnikov definitions. A new way of building Lyapunov functions is introduced and then five inequalities are derived for each definition. With the help of the developed inequalities, the sufficient conditions can be obtained to guarantee the asymptotic stability of the nabla discrete fractional order nonlinear systems. Finally, three illustrative examples are presented to demonstrate the validity and feasibility of the proposed theoretical results. (C) 2018 ISA. Published by Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
