A kind of universal constructor method for buffer operator

摘要

In this paper, according to the data sequence of system behavior {x(k)}k=1ⁿ and a set of data {y(k)}k=1ⁿ satisfying y(n) = x(n), the authors prove that there always exists a buffer operator D satisfying XD={x(k)d}k=1ⁿ, which can provide a specific constructor method of buffer operator. Finally, the axiom of invariable trend is proposed to add in the axiom systems of buffer operator.