@ARTICLE{Anh_Pham_The_Linearized_2024, author={Anh, Pham The and Czornik, Adam and Niezabitowski, MichaƂ}, volume={vol. 34}, number={No 3}, journal={Archives of Control Sciences}, pages={569-588}, howpublished={online}, year={2024}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={In this paper,we present a theorem about stability of nonlinear fractional difference equation with Riemann-Liouvile difference operator. The result is a version of classical theorem on linear approximation and to derive them,we prove the variation of constants formula for nabla Riemann- Liouville fractional difference equations.We also present some results concerning the existence and uniqueness of the equation under consideration.}, type={Article}, title={Linearized asymptotic stability for nabla Riemann-Liouville fractional difference equation}, URL={http://so.czasopisma.pan.pl/Content/132880/art05_int.pdf}, doi={10.24425/acs.2024.149672}, keywords={stability of nonlinear fractional difference equation, Riemann-Liouville difference operator, nabla Riemann-Liouville fractional difference equations}, }