On mathematical modeling of the measurement transducers

The article presents a generalized mathematical model of the measurement transducer, which is based on a system of Leontiev type, that is a degenerate system of linear ordinary differential equations. We consider examples of the theory of descriptor systems, which show that the Leontiev type system is a part of models, which are also studied by the automatic control theory. Unlike previously studied mathematical models of the measurement transducer, an additional term is introduced in the system of algebraic equations of its generalized model. This term is necessary in order to consider not only the inertial of measurement transducer, but also the noises. We present the diagrams of different measurement transducers, such that their mathematical description leads to the construction of a generalized mathematical model of the measurement transducer.