抄録
The reproducibility and the invertibility are properties of a system which reveal, in a sense, the system's potential capability. This paper shows necessary and sufficient conditions for linear time-invariant systems with delay to have these properties. Main results are: 1. necessary and sufficient condition of the system parameter for the system to have the property that for any output function that is several times continuously differentiable and has suitable initial differential quotient, there is a continuous input function which produces it. 2. necessary and sufficient condition in the frequency domain for the system to have the property that for any output function that is infinite times differentiable and is zero before some fixed instant, there is a continuous input function which produces it. 3. necessary and sufficient condition in the frequency domain for the system to have the property that the input function is known from the output by some measuring lag. It is shown that in some case the conditions of 2 and 3 above are the same.
