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This paper deals with the problem of guaranteed cost control for a class of switched descriptor systems. State feedback guaranteed cost controller is adopted to make the resulting closed-loop system stable and cost function have an upper bound. Based on single Lyapunov function and convex combination technique, a switching law is designed and a sufficient condition of the existence of such controller is presented. By means of variables substitution and linear matrix inequality, the condition can be turned to LMI. The advantage of method presented in this paper is illustrated by an example.