Begin by preheating your oven's broiler, positioning the rack approximately 6 inches from the heat source. Lightly coat the rack of a broiler pan with cooking spray to prevent sticking.
Season each salmon fillet with salt and black pepper, then place them on the prepared broiler pan. In a small bowl, whisk together the light brown sugar and Dijon mustard until well combined. Generously spoon this glaze over the top of each salmon fillet.
Place the salmon under the preheated broiler and cook for approximately 10 to 15 minutes, or until the salmon flakes easily with a fork and the glaze has formed a golden-brown crust.