The uncertainty principle for automatic control systems (Q1594249)

The uncertainty principle in theoretical radio engineering reads as follows: the uncertainty body volume, i.e., the double integral of the Woodworth ambiguity function (with respect to frequency and time) remains constant for all admissible variations in the functions shape. In the present short note one formulates a similar principle for a class of linear stationary asymptotically stable automatic control system. To this end, the ambiguity function is defined by an expression which looks like a Wigner transformation.