AN MU2 ATX PLT RPT ON FALLING ASLEEP DURING AN EARLY MORNING REPOSITIONING FLT FROM SAT TO DAL; TX.

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TKOF FROM SAT AT APPROX AB15 TO DAL. ENRTE; AT APPROX 70 MI S OF DAL; HAVING RECEIVED DAL ATIS AND IN CONTACT WITH ZFW; MY LAST MEMORY IS THAT OF SCANNING MY INSTS AND STANDING BY FOR DSCNT TO DAL. MY NEXT IS THAT OF BEING APPROX 100+ MI N OF DAL ON SAME DIRECT COURSE AND ALT. UPON REGAINING MY BEARINGS; I IMMEDIATELY TRIED TO CONTACT ZFW ON FREQ. AFTER MAKING CONTACT; I INITIATED A 180 DEG COURSE REVERSAL DIRECT BACK TO DAL. I QUERIED CTR AS TO IF EVERYTHING WAS ALL RIGHT AND THAT THERE WERE NO PROBS AS A RESULT OF THIS SIT. THEY SAID NO. I APOLOGIZED FOR THE SIT AND WAS HANDED OFF TO DAL APCH WHICH REQUESTED ME TO CALL BY TELEPHONE WHEN I LANDED. I IMMEDIATELY COMPLIED; AND ALSO EXPLAINED THE SIT; THAT TO MY RECOLLECTION I SIMPLY FELL ASLEEP FOR THAT TIME PERIOD. I AGAIN APOLOGIZED AND QUERIED AS TO IF OTHER ACFT WERE AFFECTED BY MY MISTAKE. AGAIN THE CTLR SAID NO. I HAVE FREELY VOLUNTEERED THIS INFO AND HAVE FULLY COOPERATED WITH THE DAL FSDO TO RESOLVE THIS INCIDENT. IN MY OPINION; TO PREVENT AN OCCURRENCE OF THIS EVENT IN THE FUTURE; A PLT SHOULD PAY HEED TO HIS NEED FOR REST; RATHER THAN ATTEMPTING TO PUSH HIMSELF TO COMPLETE A NON REVENUE (PART 91) OR ANY FLT WHERE HE COULD JEOPARDIZE HIS SAFETY AND THAT OF THE CIVILIAN POPULACE. I; MYSELF; WILL RECOGNIZE FATIGUE AND OBTAIN NOT JUST 'REST' BUT 'QUALITY REST.' TO MY FELLOW AVIATORS I WILL ALSO EMPHASIZE THEY; TOO; TAKE THIS TO HEART -- NOT ONLY FOR THEMSELVES; BUT FOR THEIR FAMILIES AS WELL -- JUST AS I HAVE.