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Stability, Control and Differential Games

2020-05-29 Technology & Engineering
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Release : 2020-05-29
Genre : Technology & Engineering
Kind : eBook
Book Rating : 311/5 ( reviews)

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Book Synopsis Stability, Control and Differential Games by : Alexander Tarasyev

Download or read book Stability, Control and Differential Games written by Alexander Tarasyev. This book was released on 2020-05-29. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lyapunov Functions in Differential Games

2003-01-16 Mathematics
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Release : 2003-01-16
Genre : Mathematics
Kind : eBook
Book Rating : 411/5 ( reviews)

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Book Synopsis Lyapunov Functions in Differential Games by : Vladislav I Zhukovskiy

Download or read book Lyapunov Functions in Differential Games written by Vladislav I Zhukovskiy. This book was released on 2003-01-16. Available in PDF, EPUB and Kindle. Book excerpt: A major step in differential games is determining an explicit form of the strategies of players who follow a certain optimality principle. To do this, the associated modification of Bellman dynamic programming problems has to be solved; for some differential games this could be Lyapunov functions whose "arsenal" has been supplied by stability theory. This approach, which combines dynamic programming and the Lyapunov function method, leads to coefficient criteria, or ratios of the game math model parameters with which optimal strategies of the players not only exist but their analytical form can be specified. In this book coefficient criteria are derived for numerous new and relevant problems in the theory of linear-quadratic multi-player differential games. Those criteria apply when the players formulate their strategies independently (non co-operative games) and use non-Nash equilibria or when the game model recognizes noise, perturbation and other uncertainties of which only their ranges are known (differential games under uncertainty). This text is useful for researchers, engineers and students of applied mathematics, control theory and the engineering sciences.

Durable-Strategies Dynamic Games

2022-03-31 Mathematics
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Release : 2022-03-31
Genre : Mathematics
Kind : eBook
Book Rating : 423/5 ( reviews)

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Book Synopsis Durable-Strategies Dynamic Games by : David W. K. Yeung

Download or read book Durable-Strategies Dynamic Games written by David W. K. Yeung. This book was released on 2022-03-31. Available in PDF, EPUB and Kindle. Book excerpt: Durable strategies that have prolonged effects are prevalent in real-world situations. Revenue-generating investments, toxic waste disposal, long-lived goods, regulatory measures, coalition agreements, diffusion of knowledge, advertisement and investments to accumulate physical capital are concrete and common examples of durable strategies. This book provides an augmentation of dynamic game theory and advances a new game paradigm with durable strategies in decision-making schemes. It covers theories, solution techniques, and the applications of a general class of dynamic games with multiple durable strategies. Non-cooperative equilibria and cooperative solutions are derived, along with advanced topics including random termination, asynchronous game horizons, and stochastic analysis. The techniques presented here will enable readers to solve numerous practical dynamic interactive problems with durable strategies. This book not only expands the scope of applied dynamic game theory, but also provides a solid foundation for further theoretical and technical advancements. As such, it will appeal to scholars and students of quantitative economics, game theory, operations research, and computational mathematics. "Not too many new concepts have been introduced in dynamic games since their inception. The introduction of the concept of durable strategies changes this trend and yields important contributions to environmental and business applications." Dušan M Stipanović, Professor, University of Illinois at Urbana-Champaign "Before this book, the field simply did not realize that most of our strategies are durable and entail profound effects in the future. Putting them into the mathematical framework of dynamic games is a great innovative effort." Vladimir Turetsky, Professor, Ort Braude College “Durable-strategies Dynamic Games is truly a world-leading addition to the field of dynamic games. It is a much needed publication to tackle increasingly crucial problems under the reality of durable strategies.” Vladimir Mazalov, Director of Mathematical Research, Russian Academy of Sciences & President of the International Society of Dynamic Games

Lyapunov Functions in Differential Games

2003-01-16 Mathematics
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Release : 2003-01-16
Genre : Mathematics
Kind : eBook
Book Rating : 994/5 ( reviews)

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Book Synopsis Lyapunov Functions in Differential Games by : Vladislav I Zhukovskiy

Download or read book Lyapunov Functions in Differential Games written by Vladislav I Zhukovskiy. This book was released on 2003-01-16. Available in PDF, EPUB and Kindle. Book excerpt: A major step in differential games is determining an explicit form of the strategies of players who follow a certain optimality principle. To do this, the associated modification of Bellman dynamic programming problems has to be solved; for some differential games this could be Lyapunov functions whose "arsenal" has been supplied by stability theor

Introduction to Differential Games and Control Theory

1985 Control theory
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Release : 1985
Genre : Control theory
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Introduction to Differential Games and Control Theory by : V. N. Lagunov

Download or read book Introduction to Differential Games and Control Theory written by V. N. Lagunov. This book was released on 1985. Available in PDF, EPUB and Kindle. Book excerpt:

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