A CE560XL STAB MISCOMP and HYD PRESS lights illuminated during descent and then both extinguished after the aircraft slowed to 200 KTS and the checklist was completed.

Narrative

While descending out of FL240 on the Arrival; the 'STAB MIS COMP' annunciator and 'HYD PRESS' annunciator illuminated at the same time. My First Officer and also the pilot flying (PF) called for the checklist while he initiated a speed reduction to 200 KIAS. We assigned PF and non-flying pilot duties; I ran the checklist and he ran the radios and flew the airplane. He notified ATC of our change in airspeed due to the horizontal stabilizer moving. I accomplished the Cessna CE-CE560XL EMER/ABNORMAL checklist. This basically directed us to slow to 200 KIAS or below and ensure the flap handle was in the full forward (zero degree) position; which it was. Both annunciators extinguished after approximately one and one half to two minutes. After slowing to 200 KIAS (and while I was running the checklist); the other Captain (acting First Officer and PF) turned off the autopilot and hand flew the aircraft for the remainder of the flight (we felt this would allow a quicker notification of a change in the stabilizer position in the event it started to move again). After the checklist was completed and the lights were out; the First Officer hand flew the airplane to our intended destination (about another fifteen minutes to finish the arrival; approach; and landing). The rest of the flight continued normally and with no other abnormal indications. At no time did we experience any pitch upsets. After arriving; we contacted Maintenance and deferred the horizontal stabilizer per the MEL. I think this occurred due to a mechanical malfunction. I think that hand flying the airplane was a sound decision that would have allowed us to nearly instantly diagnose any more un-commanded movements in the horizontal stabilizer. I think that we handled CRM by working together to make sound judgment calls and that we followed company and manufacturer procedures in a proper and logical manner. I think we notified ATC of our intentions and necessary corrective actions in a timely and appropriate manner. I think the malfunction was well handled and at no time did I think the safe outcome of the flight was in doubt.