Advanced Studies in Theoretical Physics Vol. 12, 2018, no. 4, 181 - 188 HIKARI Ltd, www.m-hikari.com https://doi.org/10.12988/astp.2018.8413 Chaos Control for the Lorenz System Pedro Pablo C´ ardenas Alzate Department of Mathematics and GEDNOL Universidad Tecnol´ogica de Pereira Pereira, Colombia Germ´ an Correa V´ elez Department of Mathematics Universidad Tecnol´ogica de Pereira Pereira, Colombia Fernando Mesa Department of Mathematics and GEDNOL Universidad Tecnol´ogica de Pereira Pereira, Colombia Copyright c  2018 Pedro Pablo C´ ardenas Alzate et al. This article is distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract This article presents an analysis of the chaotic dynamics presented by the Lorenz system and how this behavior can be eliminated through the implementation of sliding mode control. It is necessary to know about the theory of stability of Lyapunov to develop the appropriate control that allows to bring the system to the desired point of operation. Keywords: Lorenz system, stability of Lyapunov, chaos control, sliding modes