@ARTICLE{Kaczorek_Tadeusz_Exponential_2022, author={Kaczorek, Tadeusz and Ruszewski, Andrzej}, volume={vol. 32}, number={No 3}, pages={577-588}, journal={Archives of Control Sciences}, howpublished={online}, year={2022}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={The exponential decay of transient values in discrete-time nonlinear standard and fractional orders systems with linear positive linear part and positive feedbacks is investigated. Sufficient conditions for the exponential decay of transient values in this class of positive nonlinear systems are established. A procedure for computation of gains characterizing the class of nonlinear elements are given and illustrated on simple example.}, type={Article}, title={Exponential decay of transient values in discrete-time positive nonlinear systems}, URL={http://sd.czasopisma.pan.pl/Content/124477/PDF/art05_int.pdf}, doi={10.24425/acs.2022.142849}, keywords={exponential decay, transient value, discrete-time, fractional order, positive, nonlinear, feedback, system}, }