In this paper stability analysis for switched systems with delay in the active mode detection is investigated. First the switched system under consideration is recast as a hybrid system. Based on this hybrid formalism, general sufficient stability conditions are then provided. These results are used to establish tractable conditions for stability analysis using sum of squares polynomial and Linear Matrix inequalities. To complete the analysis, relations between the Linear Matrix inequalities feasibility and structural properties of the systems are given. Finally some simulations show the effectiveness of the methods.