Algebraical methods of state space in linear plant control theory (review of foreign literature)

The paper is concerned with algebraical methods of state space in theory of linear finite dimensional systems with infinite time. Basic results in canonical representation of linear systems, in control with linear state and output feedback, in optimal (in terms of the r.m.s. performance criterion) and model control with design of state identifier (observer) are given. Design of «crude» controllers, applications, the use of tools of abstract algebra and relation of the algebraical state space methods with methods of the classical control theory are discussed.