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 Lotka—Volterra Competition Model.- 5. Construction of Dynamically Stable Solutions in Differential Network Games.- 6. On a Differential Game in a System Described by a Functional Differential Equation. 7. The Program Constructions in Abstract Retention Problem.- 8. UAV Path Planning in Search and Rescue Operations.- 9. Second Order Necessary Optimality Conditions for Abnormal Problems and their Applications.- 10. Alternate Pursuit of two Targets, one of which is a False.- 11. Block Jacobi Preconditioning for Solving Dynamic General Equilibrium Models.
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.
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.