2011 Silverado, STABILITRAK, TRACTION CONTROL, runs rough

2011, Chevy Silverado 1500.  When driving at cruise control
for extended periods, 1hr+, I get several issues:
1) Cruise control kicks off,
2) engine powered reduces,
3) engine runs rough,
4) dash notification:
  - check engine light comes on
  - SERVICE STABILITRAK text
  - ENGINE POWER IS REDUCED text
  - SERVICE TRACTION CONTROL text.   
After shutting the vehicle down, and attempting to restart, the
engine continues to run rough. However, if I wait a couple of
minutes before restarting, the text goes away in the engine
appears to run normally. After another hour or so of regular
driving, without using the cruise control, the check engine light
goes off. This has happened multiple times where cruise
control was being used for extended periods.