In this paper we provide an overview of the state of tjhe art related to the study of the switched systems of differential equations. Such a panoramic study follows a bidirectional path. The first deals with the study of the considered systems of differential equations with regards the pooling of the same in two clusters, namely linear switched systems dependent on a continuous or discrete variable (such an independent variable usually represents time); and nonlinear switched and stochastic switched systems. The second direction deals with the study of these systems taking into account the more applied techniques to characterize 7066 Efrén Vázquez Silva et al. the stability and controllability thereof. We also have presented bidimensional switched systems.