The most common problem when the "SYS" light flashes is that the battery is on it's way out. I would first check both battery cables for any indication of corrison build-up. Clean everything and re-connect the cables and charge the battery. You may want to have a load test done on the battery afterward.
Is your battery the original OEM AC-Delco? Most of the aftermarket parts store battieries (Exide, Champion and such) are not good for more than a few years. My 92 still has the OEM AC-Delco battery and last summer I had it load tested 3 time about 10 minutes apart never got below 82% of capacity!
I will replace my battery with another AC-Delco when the time comes. Other good batteries are the Sears Die-Hard Gold, Interstate, or the Optima Red-Top. Make sure that the one you buy is rated for at least 10-20% more CCA's than what the OEM battery was. The case should fit the battery tray correctly so it won't get loose on you (a loose battery will get you bounced at an autocross or track day tech inspection). Stay away from the parts stores or Wally World even though you can get one for $30 or so.
A note on the Optima - it's a very good battery and uses gel rather than liquid so it won't leak. Unfortunately the battery top positive post usually interferes with the diagonal brace just below the ECM so it has to be ground down to clear. Contact there would NOT be a good thing!