In a large skillet, cook beef and garlic over medium heat until meat is no longer pink; drain. Stir in the tomato juice, tomato paste, chili powder, pepper sauce, salt and pepper. Bring to a boil. Reduce heat; simmer, uncovered, for 20 minutes. Keep hot until serving. Grill or broil hot dogs until heated through. Place on buns; top with chili. Sprinkle with onion and cheese if desired.