Preheat oven to 350 degrees F. Heat a large skillet over medium heat. Add olive oil and saute onion and garlic until soft and translucent. Meanwhile, add ground beef to a wide bottomed baking dish or container. Cover with water and break apart the ground beef in the water. Let sit for 3 minutes. Squeeze out the water and add ground beef to the skillet. Cook through.
Add the salt, pepper, chili powder, mustard, Worchestershire, brown sugar, tomato sauce, tomato paste and water. Stir well and bring to a simmer for 5 minutes. Add chopped hot dogs and cook another 5 minutes.
Keeping the rolls together, slice across width wise. Place the bottom buns in a 9x9 pan. Spread the hot dog chili over the buns then sprinkle with cheese. Place the sheet of top buns over the cheese.
Combine the topping ingredients and brush over the top buns. Bake for 10-15 minutes.