Optimization and control of dynamic systems. Foundations, main developments, examples and challenges (Q2180842)

This is a book about optimization and control of dynamic systems, which introduces many optimization and polyoptimization methods and contains many practical examples, The book consists of 17 chapters: 1. Introduction; 2. Logics; 3. Some Fundamental Mathematical Models; 4. Fundamental Properties and Requirements of Control Systems; 5. Unconstrained Extrema of Functions; 6. Extrema Subject to Equality Constraints; 7. Extrema Subject to Equality and Inequality Constraints; 8. Parametric Optimization of Continuous Linear Dynamic Systems; 9. Elements of Variational Calculus; 10. Dynamic Optimization of Systems; 11. Maximum Principle; 12. Dynamic Programming; 13. Linear Quadratic Problems; 14. Optimization of Discrete-Continuous Hybrid Systems; 15. Elements of Multicriteria Optimization; 16. Mathematical Model of a Bicycle and Its Stability Analysis; 17. Concluding Remarks. Chapters 1--4 present a classification of mathematical models of optimization, basic concepts of formal logic, basic mathematical models, and basic limitations in the analysis of dynamic systems respectively. Chapters 5--7, 9 and 15 concern a basic and important problem of searching for a maximum or minimum (extremum, in general) of functions, where Chapter 5 is about the real functions in the interiors of their domains without any additional constrains, Chapter 6 is about real functions in some subsets of their domains, Chapter 7 is about the functions of several variables, Chapter 9 is about the functions of infinitely many variables, and Chapter 15 is about the polyoptimization problems, i.e, the problems of searching for extremes of vector functions of many variables. Chapters 8, 10 and 11 address the parametric optimization of dynamic systems, the modern problems and methods of dynamic optimization respectively. In Chapters 12 and 13, a general method of dynamic programming and an application to the optimization of linear non-stationary systems are described. In Chapters 14 and 16, a chain system (that is, a ladder system) occurring in telecommunications and a mathematical model of the bike are well investigated. From the Preface, we learn that this book is the outcome of a selection of the author's lectures for Ph.D. students in Electrical Engineering, Automation, Computer Science and Biomedical Engineering. I think it is an interesting book, and I would like to recommend it to students and researchers interested in optimization and control theory.