Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 314, Issue -, Pages 228-236Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2017.06.019
Keywords
Asymptotic stability; Fractional difference equations; Lyaupunov direct method
Categories
Funding
- China Postdoctoral Science Foundation [2016M602632]
- Innovative Team Program of Sichuan Provincial Universities [13TD0001]
- NSFC [11301257]
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Discrete memory effects are introduced by fractional difference operators. Asymptotic stabilities of nonlinear fractional difference equations are investigated in this paper. A linear scalar fractional difference equality is utilized. Lyapunov second direct method is proposed for nonlinear discrete fractional systems. Asymptotic stability conditions are provided and some examples are given. (C) 2017 Elsevier Inc. All rights reserved.
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