Modeling Populations of Thermostatic Loads with Switching Rate Actuation
  We model thermostatic devices using a stochastic hybrid description, and introduce an external actuation mechanism that creates random switch events in the discrete dynamics. We then conjecture the form of the Fokker-Planck equation and successfully verify it numerically using Monte Carlo simulations. The actuation mechanism and subsequent modeling result are relevant for power system operation. 
Luminita Cristiana Totu (Automation and Control, Aalborg University),   Rafael Wisniewski (Automation and Control, Aalborg U...
cs.SY