Stability, Control and Differential Games

This book presents the proceedings of the International Conference Stability, Control, Differential Games (SCDG2019, September 16 20, 2019, Yekaterinburg, Russia), organized by the Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences. Discussing the latest advances in the theory of optimal control, stability theory and differential games, it also demonstrates the application of new techniques and numerical algorithms to solve problems in robotics, mechatronics, power and energy systems, economics and ecology. Further, the book includes fundamental results in control theory, stability theory and differential games presented at the conference, as well as a number of chapters focusing on novel approaches in solving important applied problems in control and optimization. Lastly, it evaluates recent major accomplishments, and forecasts developments in various up-and-coming areas, such as hybrid systems, model predictive control, HamiltonJacobi equations and advanced estimation algorithms.

Presents recent developments in control theory, stability theory, and differential games Demonstrates the applications of new technologies and algorithms in a wide variety of fields Discusses the current research and forecasts future developments

Autorentext

Professor Alexander M. Tarasyev is the Head of the Department of Dynamical Systems at the Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences. His main research interests are optimal control theory, differential games, dynamic systems and mathematical modeling.

Professor Vyacheslav I. Maksimov is the Head of the Department of Differential Equations at the Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences. His main research interests are mathematical control theory and control of distributed systems.

Professor Tatiana F. Filippova is the Head of the Department of Optimal Control at the Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences. His main research interests are mathematical control theory, set-valued analysis, theory of differential equations, theory of differential inclusions and convex analysis.

Klappentext

This book presents the proceedings of the International Conference Stability, Control, Differential Games (SCDG2019, September 16 20, 2019, Yekaterinburg, Russia), organized by the Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences. Discussing the latest advances in the theory of optimal control, stability theory and differential games, it also demonstrates the application of new techniques and numerical algorithms to solve problems in robotics, mechatronics, power and energy systems, economics and ecology. Further, the book includes fundamental results in control theory, stability theory and differential games presented at the conference, as well as a number of chapters focusing on novel approaches in solving important applied problems in control and optimization. Lastly, it evaluates recent major accomplishments, and forecasts developments in various up-and-coming areas, such as hybrid systems, model predictive control, Hamilton Jacobi equations and advanced estimation algorithms.

Inhalt

1. On Unbounded Limit Sets of Dynamical Systems.- 2. About One Problem of Optimal Control of String Oscillations with Non-separated Multipoint Conditions at Intermediate Moments of Time.- 3. Application of Discrete-time Optimal Control to Forest Management Problems.- 4. Program and Positional control Strategies for the LotkaVolterra Competition Model.- 5. Construction of Dynamically Stable Solutions in Dierential Network Games.- 6. On a Dierential Game in a System Described by a Functional Dierential Equation.- 7. The Program Constructions in Abstract Retention Problem.