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Task scheduling in sensor networks is becoming increasing complex due to the shift in naval missions, more sensor functions available like the Multifunction Radar. Choosing the most suited sensor for the execution of a sensor function is based on sensor capabilities and function attributes. To increase performance of the entire sensor networks, all the sensors available should be scheduled in a single system. This paper presents a fuzzy Lyapunov synthesis based method for scheduling prioritized tasks in sensor networks. This method can be implemented fast, and guarantees the system stable.