The tutorial contains a basic course on the theory of linear automatic control systems with a large number of tasks and exercises. Chapters 1-3 are devoted to basic terminology and classification of automatic control systems (ACS). In chapters 4-9, typical dynamic links are discussed in detail, in chapters 10-14 - their connections. Chapters 15-20 outline the foundations of stability theory. Chapters 21 and 22 are devoted to the basics of modeling in the VisSim software environment. In addition to theoretical material, each chapter contains illustrative numerical examples, tasks and exercises with solution analysis. The tutorial contains 4 appendices.