ABSTRACT
In this chapter we will consider the problems of stabilization by linear approxi mation for the case when the information on the state of the system is received at discrete moments of time; we will also describe the methods of stabilizing the constructions of control. In this respect the problems of stabilization of so-called hybrid systems will be considered, i.e. the stabilization of continuous systems with information discretely received, and the problems of stabilization of discrete sys tems, namely those with discrete time will be treated as auxiliary though significant ones.