@ARTICLE{Górecki_Henryk_Analytic_2016, author={Górecki, Henryk and Zaczyk, Mieczysław}, number={No 4}, journal={Archives of Control Sciences}, howpublished={online}, year={2016}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={Abstract In the paper the extremal dynamic error x(τ) and the moment of time τ are considered. The extremal value of dynamic error gives information about accuracy of the system. The time τ gives information about velocity of transient. The analytical formulae enable design of the system with prescribed properties. These formulae are calculated due to the assumption that x(τ) is a function of the roots s1, ..., sn of the characteristic equation.}, title={Analytic solutions of transcendental equations with application to automatics}, URL={http://journals.pan.pl/Content/104501/PDF/acsc-2016-0027.pdf}, doi={10.1515/acsc-2016-0027}, }