抄録
This paper deals with the input observability and the duality between inputs and outputs of the linear dynamic measuring system which is time-continuous and analytic.
First we introduce the necessary and sufficient conditions for the input observability of pulse and pulse series in the time varying system. We obtain slightly different conditions between time-fixed pulse series and time-free pulse series. The necessary and sufficient condition for the total input observability of pulse series is easily obtained from that of time-free pulse series.
In case of the time constant system, the necessary and sufficient condition for the input observability of power series is of the same form as that of pulse series.
The above necessary and sufficient conditions are analogous to those of state observability. Considering more general inputs capable of Laplace transformation, however, we need independent output variables of no smaller number than that of input variables.
If the system has the state observability, then the necessary and sufficient condition for the input obsevability is of much simpler form. This relation is similar to that between state controllability and output controllability.
At the end of this paper, it is shown that the pulse input observability is dual to the output controllability.
