@ARTICLE{Kaczorek_Tadeusz_Descriptor_2015, author={Kaczorek, Tadeusz}, number={No 2}, journal={Archives of Control Sciences}, howpublished={online}, year={2015}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={Abstract A method of analysis of descriptor nonlinear discrete-time systems with regular pencils of linear part is proposed. The method is based on the Weierstrass-Kronecker decomposition of the pencils. Necessary and sufficient conditions for the positivity of the nonlinear systems are established. A procedure for computing the solution to the equations describing the nonlinear systems are proposed and demonstrated on numerical examples.}, title={Descriptor standard and positive discrete-time nonlinear systems}, URL={http://journals.pan.pl/Content/84371/PDF/6.pdf}, doi={10.1515/acsc-2015-0015}, }