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This report introduces application results of QE method to common infinity (l∞) Lyapunov function problem for continuous-time linear time-invariant systems. First, the report presents an application of QE method to find the existence condition of a common l∞ Lyapunov function for a set of continuous-time linear time-invariant systems and gives a numerical example of a pair of second order systems. Next, by giving numerical examples, the report makes clear about the non-inclusion and non-exclusion relation between the existence conditions of common l∞and l2 Lyapunov functions for a pair of second order continuous-time linear time-invariant systems.