A Technique for the Synthesis of Linear Nonstationary Feedback Systems I-The Approximation Problem

In this paper, and in a companion paper, a technique for the synthesis of linear nonstationary feedback systems is presented. This paper deals with the approximation problem, i.e., a method is developed whereby a realizable weighting function which produces a desired output when subjected to a polynomial input can be generated. Certain conditions which must be fulfilled by the outputs are also developed.