Larry, any system left stagnant for a long time will quickly fail, even your brake system.
Your top is controlled by electrical relays, valves and limit switches, and the main power source is hydraulic. These parts need to be worked periodically. Electrical contacts clean themselves when cycled. Hydraulic seals and fluid work better after a few cycles because any trapped air 'works itself out'. The same holds true for power steering; run the steering wheel from lock to lock.
The worst thing you can do is to NOT cycle any automation, including your convertible top. The idea of, "Hey it works, now leave it alone" does not apply here.
I hope this helps. - Dave