Ivanov I. Investigation of abstract systems with inputs and outputs as partial functions of time.

The thesis is devoted to investigation of properties of abstract systems with inputs and outputs as partial functions on the real time domain on the basis of the composition-nominative approach. In the work systems of this kind are called blocks. They can be considered as high-level models of cyber-physical systems, real-time information processing systems and other similar systems. The following main properties of blocks are studied in the work: causality, representation in the form of a dynamical system, the existence of total input-output pairs, the existence of a total output for a given total input.