On the characteristic of steady state for some types of dynamic plants

The paper discusses the dependence of the mean performance criterion on the control mean. This is not an unambiguous characteristic because the fixed mean control is associated with a set of mean criterion values from a range. The upper bound of the characteristic is upward convex and the lower bound, downward convex; in the extreme points of the set of feasible controls these boundaries coincide with one another and with the plant static response. A class of plants is specified for which the computation of boundaries for the characteristic of steady state modes can be significantly simplified.