Stabilization of program movements with full and incomplete feedback: Study guide

In this study manual, the main concepts of determining the theory of stability of ordinary differential equations are given, and the issues of stabilizing linear stationary systems in the state space in the event of a complete and incomplete feedback are also considered. A general algorithm for solving the problem of stabilization is proposed. The methods for constructing asymptotic identifiers of different types used to estimate the phase state of the controlled system in stabilization mode in case of incomplete feedback are considered. Specific implementations of algorithms for the construction of stabilizing controls for various special cases are listed by a large number of examples.
The book was developed within the framework of the "Theory of Management", "Sustainability of Movement" Faculty of Applied Mathematics - SPbSU Control Processes and is intended for students of universities, students" Applied Mathematics and Physics, and "Applied Mathematics and Informatics", as well as other mathematical and natural science directions and specialties in the field of technology and technology. It can also be useful to scientists specializing in mathematical modeling, the theory of management and theory of stability