FLC OF A CPR JET TURNED EARLY ONTO THE FINAL APCH COURSE CAUSING PENETRATION OF OTHER AIRSPACE NOT ASSIGNED.

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CORP JET FLT FROM SFO TO SMO. FERNANDO 5 ARR AT SMO WITH AVENAL TRANSITION. I WAS LETTING THE FMS AND AUTOPLT FLY THE ARR. CLRED TO SMO. FERNANDO 5 SAYS TO EXPECT VOR-A APCH AT DARTS. DARTS IS ALSO THE FIRST FIX ON THE VOR-A APCH. THE TURN FROM DARTS TO THE FINAL APCH COURSE IS MORE THAN 90 DEGS (117 DEGS TO BE EXACT). SOCAL APCH HAD NOT ISSUED AN APCH CLRNC. AS USUAL THE RADIOS WERE VERY BUSY. THE FMS STARTED THE TURN FROM DARTS TO FINAL APCH APPROX 2 MI PRIOR TO DARTS. THE FMS IS DESIGNED TO DO THIS SO THAT THE ACFT WILL NOT OVERSHOOT THE NEW COURSE. THE CTLR CALLED ABOUT 1/2 WAY THROUGH THE TURN AND ASKED WHAT WE WERE DOING. WE RESPONDED THAT WE WERE PROCEEDING TO THE SMO ARPT. THE CTLR ASKED THAT WE CALL BY PHONE WHEN ON THE GND. I COMPLIED AND WAS TOLD BY A VERY COURTEOUS PERSON AT SOCAL APCH THAT WE HAD INTRUDED INTO ANOTHER CTLR'S AIRSPACE BY STARTING THE TURN EARLY AND ADVISED THAT WE NOT LET THE FMS FLY THE AIRPLANE IN LOS ANGELES BASIN. I INTEND TO BE VERY CAREFUL OF THIS IN THE FUTURE BUT BELIEVE THE AIM DIRECTS PLTS TO START TURNS EARLY IN THESE SITS TO AVOID OVERSHOOTING THE NEW COURSE. (AIM ENRTE PROCS PARAGRAPH 5-34.)