Combined control dynamic systems comprise both parts of discrete systems: real-time activated discrete dynamic systems as well as discrete event dynamic systems. The combination of cyclically recurring processes with stochastically generated events significantly intervenes into the control, while also affecting the choice of the right sample period, as it is necessary to process all the generated interruptions within the cycle. The current monograph focuses on the analysis of combined control systems and determination of the stochastic event element of the sample period. It proposes an appropriate sample period for combined control systems and introduces a methodology for determining the impact of a stochastic element on the system stability and properties. The main contribution of the monograph is the design of an adaptive algorithm for events processing and auto-correction of the event element of sample period.