Mathematical Methods of Control Theory . Problems of stability, controllability and observability”, created by the team of authors, is a unique work that immerses the reader in the world of modern mathematical approaches to solving problems in the field of control theory. This publication will be of particular interest to those who seek a deeper understanding of how mathematical models can be used for the analysis and design of control systems, as well as to those who already have some experience in this field and want to expand their knowledge. The book explores key aspects such as sustainability, manageability, and observabilitythe three pillars on which successful dynamical systems management is built. Stability of the system determines how it reacts to external influences and internal disturbances, manageability is the ability of the system to achieve specified states, and observability is the ability to determine the state of the system from its output data. These topics are fundamental to engineers, scientists, and students who are involved in the design and analysis of control systems in a variety of fields, including automation, robotics, and economics. The book is written in accessible language, which makes it suitable for a wide audience. Students of technical specialties, graduate students, as well as practicing engineers will find in it useful ideas and techniques that will help in their professional activities. Even those who are just beginning their journey in management theory will be able to find valuable materials here that will help them build a solid foundation for further study. One of the main features of this book is its practical focus. The authors not only outline the theoretical foundations, but also offer many examples and tasks that allow the reader to consolidate the knowledge gained in practice. This makes the book not just a textbook, but a real tool for solving real-world problems faced by management specialists. The style of the authors is distinguished by clarity and logical presentation, which makes it easy to assimilate even the most complex concepts. The book includes many illustrations, graphs and tables that help to visualize the material and deepen understanding. The authors use modern mathematical methods and algorithms, which makes their approach relevant and in demand in the conditions of rapidly developing technologies. If you are looking for books on mathematics, control theory or automation systems, this edition will be a great addition to your library. It will be interesting for those who study topics such as linear systems, system dynamics, as well as those who want to learn more about modern methods of analysis and design of control systems. Mathematical Methods of Control Theory . Problems of stability, manageability and observability” is not just a collection of theoretical knowledge, but also a practical guide that will help you understand complex issues and find solutions for your problems. Do not miss the opportunity to deepen your knowledge and skills in this important area, which continues to remain at the forefront of research and technological development.