Input set decomposition and open-loop control in telecommunications networks

This article analyzes problems of development of open-loop control systems for telecommunication networks and discusses one of several possible algorithms for decomposition of the input set into closed convex subsets (if such decomposition is possible). This decomposition allows for creation of control rules: control should be the same as long as an input vector belongs to the subset that correspond to a control rule. If the input vector leaves this subset, then a new subset, to which the input vector belongs, must be defined and control should be changed to the control associated with a new subset. This article presents examples of input subsets. The proposed decomposition approach is an illustration of the methodology described