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• W3000903932 abstract "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." @default.
• W3000903932 created "2020-01-30" @default.
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• W3000903932 date "2020-03-01" @default.
• W3000903932 modified "2023-10-15" @default.
• W3000903932 title "Generalization of the gradient method with fractional order gradient direction" @default.
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• W3000903932 doi "https://doi.org/10.1016/j.jfranklin.2020.01.008" @default.
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