Preheat oven to 400°F. In a 10-inch oven-proof skillet, cook ground beef over medium-high heat until no longer pink, about 5-7 minutes. Drain off excess grease. Stir in tomato sauce, tomato paste, ketchup, mustard, hot dogs, chili powder, brown sugar, Worcestershire sauce, cumin, garlic powder, and onion powder. Season with salt and pepper to taste. Reduce the heat to low; simmer for about 5 minutes, or until the mixture thickens slightly. Smooth into an even layer in the pan. Sprinkle with half of the cheese.