Design of control systems having the desired properties

Numerous possible statements of the problem of designing control systems having the desired properties are studied. For every statement the necessary and sufficient conditions of solving the problem are obtained. The dynamic control system had to meet the requirements that the controller and closed-loop system elements be physically possible and every local behavior of the closed-loop system be extendible to a certain globally defined behavior. For illustration the specific formulation of these conditions for a deterministic dynamic process is described.