The manual provides methods for solving all types of examples and problems considered, as well as tasks for independent solution in the discipline "Theory of automatic control." The material of the manual covers the following sections: basic mathematical methods of control theory, solving differential and difference equations and systems; mathematical models of continuous and discrete elements and control systems; Model conversion characteristics of links and control systems; methods of investigation of controllability, observability, completeness, stability and quality of linear control systems; nonlinear control systems, phase plane, Lyapunov methods, absolute and robust stability, harmonic linearization; elements of synthesis of linear and nonlinear control systems. Much attention is paid to the study of control systems using the Matlab package. The texts of programs for solving almost all types of problems in Matlab are given. The textbook is recommended for students studying in the direction of "Automated Technologies and Production." It can also be used by students of other fields studying the theory of automatic control.