Science and Education Publishing American Journal of Mechanical Engineering 2328-4110 4 7 2016 12 19 State Space Representation of Dynamical Systems 385 389 EN Ľubica Miková Department of Mechatronics, Faculty of Mechanical Engineering, Technical University of Košice, Košice, Slovakia Alexander Gmiterko Darina Hroncová AJME20164728 10.12691/ajme-4-7-28 2016 8 30 2016 10 4 2016 12 17 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.