eng Science and Education Publishing American Journal of Mechanical Engineering 2328-4110 2016-12-19 4 7 385 389 10.12691/ajme-4-7-28 AJME20164728 article Ľubica Miková lubica.mikova@tuke.sk 1 Alexander Gmiterko 1 Darina Hroncová 1 Department of Mechatronics, Faculty of Mechanical Engineering, Technical University of Košice, Košice, Slovakia This article deals with the modeling of dynamical system in state-space representation. The state-space representation is a mathematical model of a physical system with the input, output and state variables composed by first-order differential equations. The state-space representation gives a suitable and compact way to model and analyze systems with multiple inputs and outputs. The article described the methodology for production of state of simple models of mechanical systems. http://pubs.sciepub.com/ajme/4/7/28/ajme-4-7-28.pdf state-space representation equation of motion state variables insert template