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Inverse Optimal Control and Inverse Noncooperative Dynamic Game Theory

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Release : 2022-02-18
Genre : Mathematics
Kind : eBook
Book Rating : 172/5 ( reviews)

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Book Synopsis Inverse Optimal Control and Inverse Noncooperative Dynamic Game Theory by : Timothy L. Molloy

Download or read book Inverse Optimal Control and Inverse Noncooperative Dynamic Game Theory written by Timothy L. Molloy. This book was released on 2022-02-18. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a novel unified treatment of inverse problems in optimal control and noncooperative dynamic game theory. It provides readers with fundamental tools for the development of practical algorithms to solve inverse problems in control, robotics, biology, and economics. The treatment involves the application of Pontryagin's minimum principle to a variety of inverse problems and proposes algorithms founded on the elegance of dynamic optimization theory. There is a balanced emphasis between fundamental theoretical questions and practical matters. The text begins by providing an introduction and background to its topics. It then discusses discrete-time and continuous-time inverse optimal control. The focus moves on to differential and dynamic games and the book is completed by consideration of relevant applications. The algorithms and theoretical results developed in Inverse Optimal Control and Inverse Noncooperative Dynamic Game Theory provide new insights into information requirements for solving inverse problems, including the structure, quantity, and types of state and control data. These insights have significant practical consequences in the design of technologies seeking to exploit inverse techniques such as collaborative robots, driver-assistance technologies, and autonomous systems. The book will therefore be of interest to researchers, engineers, and postgraduate students in several disciplines within the area of control and robotics.

Inverse Dynamic Game Methods for Identification of Cooperative System Behavior

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Release : 2021-07-12
Genre : Technology & Engineering
Kind : eBook
Book Rating : 804/5 ( reviews)

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Book Synopsis Inverse Dynamic Game Methods for Identification of Cooperative System Behavior by : Inga Charaja, Juan Jairo

Download or read book Inverse Dynamic Game Methods for Identification of Cooperative System Behavior written by Inga Charaja, Juan Jairo. This book was released on 2021-07-12. Available in PDF, EPUB and Kindle. Book excerpt: This work addresses inverse dynamic games, which generalize the inverse problem of optimal control, and where the aim is to identify cost functions based on observed optimal trajectories. The identified cost functions can describe individual behavior in cooperative systems, e.g. human behavior in human-machine haptic shared control scenarios.

Discrete–Time Stochastic Control and Dynamic Potential Games

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Release : 2013-09-20
Genre : Science
Kind : eBook
Book Rating : 59X/5 ( reviews)

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Book Synopsis Discrete–Time Stochastic Control and Dynamic Potential Games by : David González-Sánchez

Download or read book Discrete–Time Stochastic Control and Dynamic Potential Games written by David González-Sánchez. This book was released on 2013-09-20. Available in PDF, EPUB and Kindle. Book excerpt: ​There are several techniques to study noncooperative dynamic games, such as dynamic programming and the maximum principle (also called the Lagrange method). It turns out, however, that one way to characterize dynamic potential games requires to analyze inverse optimal control problems, and it is here where the Euler equation approach comes in because it is particularly well–suited to solve inverse problems. Despite the importance of dynamic potential games, there is no systematic study about them. This monograph is the first attempt to provide a systematic, self–contained presentation of stochastic dynamic potential games.

Dynamic Noncooperative Game Theory

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Release : 1999-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 29X/5 ( reviews)

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Book Synopsis Dynamic Noncooperative Game Theory by : Tamer Basar

Download or read book Dynamic Noncooperative Game Theory written by Tamer Basar. This book was released on 1999-01-01. Available in PDF, EPUB and Kindle. Book excerpt: An overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and the role of different information patterns.

Interval Analysis

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Release : 2023-12-04
Genre : Technology & Engineering
Kind : eBook
Book Rating : 999/5 ( reviews)

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Book Synopsis Interval Analysis by : Navid Razmjooy

Download or read book Interval Analysis written by Navid Razmjooy. This book was released on 2023-12-04. Available in PDF, EPUB and Kindle. Book excerpt: Interval Analysis An innovative and unique application of interval analysis to optimal control problems In Interval Analysis: Application in the Optimal Control Problems, celebrated researcher and engineer Dr. Navid Razmjooy delivers an expert discussion of the uncertainties in the analysis of optimal control problems. In the book, Dr. Razmjooy uses an open-ended approach to solving optimal control problems with indefinite intervals. Utilizing an extended, Runge-Kutta method, the author demonstrates how to accelerate its speed with the piecewise function. You’ll find recursive methods used to achieve more compact answers, as well as how to solve optimal control problems using the interval Chebyshev’s function. The book also contains: A thorough introduction to common errors and mistakes, generating uncertainties in physical models Comprehensive explorations of the literature on the subject, including Hukurara’s derivatives Practical discussions of the interval analysis and its variants, including the classical (Minkowski) methods Complete treatments of existing control methods, including classic, conventional advanced, and robust control. Perfect for master’s and PhD students working on system uncertainties, Interval Analysis: Application in the Optimal Control Problems will also benefit researchers working in laboratories, universities, and research centers.

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