In a large bowl, whisk together the olive oil, brown sugar, Dijon mustard, soy sauce, lemon zest, parsley, thyme, rosemary, salt, pepper and garlic.
Place the lamb chops in the bowl and spoon the marinade over the top. Marinate for at least 1 hour, or up to 24 hours.
Preheat an outdoor grill or indoor grill pan to medium high. Place the chops on the grill and cook for 4-5 minutes per side or until a thermometer inserted into the thickest part of the meat registers 135 for medium.
Let the meat rest for 5 minutes, then serve. Garnish with lemon and herbs if desired.