The reader is enabled to use the mathematical tools of linear system theory for control engineering purposes. The focus is on the function-theoretical and algebraic relationships that enable trajectory control, the design of robust stabilizing controllers and the continuous-time handling of sampling control loops. Numerous examples illustrate the application of the general laws. When modeling controlled systems, the unavoidable uncertainties are taken into account. The work is now available in the second, completely revised and restructured version, which has been expanded in terms of content to include new research results on the design of open-loop and closed-loop control systems..