Abstract. An analytical summary about author’s research in the mathematical modeling of the dynamics of linear spatially distributed systems under limited information about their initial–boundary-value state is presented. The solutions to problems of control of such systems using an arbitrary combination of external-dynamic disturbing factors are given. The problems are solved for continuously and discretely defined observations of the initial–boundary-value disturbances of the system and its desired state.

Keywords: modeling, distributed parameter systems, dynamic systems, initial–boundary-value problems, control.