Inverse Optimal Control And Inverse Noncooperative Dynamic Game Theory

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Inverse Optimal Control and Inverse Noncooperative Dynamic Game Theory

Author : Timothy L. Molloy
Publisher : Springer Nature
ISBN 13 : 3030933172
Total Pages : 278 pages
Book Rating : 4.0/5 (39 download)

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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 and published by Springer Nature. This book was released on 2022-02-18 with total page 278 pages. 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

Author : Inga Charaja, Juan Jairo
Publisher : KIT Scientific Publishing
ISBN 13 : 3731510804
Total Pages : 264 pages
Book Rating : 4.7/5 (315 download)

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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 and published by KIT Scientific Publishing. This book was released on 2021-07-12 with total page 264 pages. 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

Author : David González-Sánchez
Publisher : Springer Science & Business Media
ISBN 13 : 331901059X
Total Pages : 81 pages
Book Rating : 4.3/5 (19 download)

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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 and published by Springer Science & Business Media. This book was released on 2013-09-20 with total page 81 pages. 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

Author : Tamer Basar
Publisher : SIAM
ISBN 13 : 089871429X
Total Pages : 526 pages
Book Rating : 4.8/5 (987 download)

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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 and published by SIAM. This book was released on 1999-01-01 with total page 526 pages. 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

Author : Navid Razmjooy
Publisher : John Wiley & Sons
ISBN 13 : 1394190999
Total Pages : 212 pages
Book Rating : 4.3/5 (941 download)

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Book Synopsis Interval Analysis by : Navid Razmjooy

Download or read book Interval Analysis written by Navid Razmjooy and published by John Wiley & Sons. This book was released on 2023-12-04 with total page 212 pages. 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.

Integral and Inverse Reinforcement Learning for Optimal Control Systems and Games

Author : Bosen Lian
Publisher : Springer Nature
ISBN 13 : 3031452526
Total Pages : 278 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Integral and Inverse Reinforcement Learning for Optimal Control Systems and Games by : Bosen Lian

Download or read book Integral and Inverse Reinforcement Learning for Optimal Control Systems and Games written by Bosen Lian and published by Springer Nature. This book was released on with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discrete-Time Inverse Optimal Control for Nonlinear Systems

Author : Edgar N. Sanchez
Publisher : CRC Press
ISBN 13 : 1466580887
Total Pages : 268 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Discrete-Time Inverse Optimal Control for Nonlinear Systems by : Edgar N. Sanchez

Download or read book Discrete-Time Inverse Optimal Control for Nonlinear Systems written by Edgar N. Sanchez and published by CRC Press. This book was released on 2017-12-19 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete-Time Inverse Optimal Control for Nonlinear Systems proposes a novel inverse optimal control scheme for stabilization and trajectory tracking of discrete-time nonlinear systems. This avoids the need to solve the associated Hamilton-Jacobi-Bellman equation and minimizes a cost functional, resulting in a more efficient controller. Design More Efficient Controllers for Stabilization and Trajectory Tracking of Discrete-Time Nonlinear Systems The book presents two approaches for controller synthesis: the first based on passivity theory and the second on a control Lyapunov function (CLF). The synthesized discrete-time optimal controller can be directly implemented in real-time systems. The book also proposes the use of recurrent neural networks to model discrete-time nonlinear systems. Combined with the inverse optimal control approach, such models constitute a powerful tool to deal with uncertainties such as unmodeled dynamics and disturbances. Learn from Simulations and an In-Depth Case Study The authors include a variety of simulations to illustrate the effectiveness of the synthesized controllers for stabilization and trajectory tracking of discrete-time nonlinear systems. An in-depth case study applies the control schemes to glycemic control in patients with type 1 diabetes mellitus, to calculate the adequate insulin delivery rate required to prevent hyperglycemia and hypoglycemia levels. The discrete-time optimal and robust control techniques proposed can be used in a range of industrial applications, from aerospace and energy to biomedical and electromechanical systems. Highlighting optimal and efficient control algorithms, this is a valuable resource for researchers, engineers, and students working in nonlinear system control.

Control and Systems Engineering

Author : Aly El-Osery
Publisher : Springer
ISBN 13 : 331914636X
Total Pages : 380 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Control and Systems Engineering by : Aly El-Osery

Download or read book Control and Systems Engineering written by Aly El-Osery and published by Springer. This book was released on 2015-03-19 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tribute to 40 years of contributions by Professor Mo Jamshidi who is a well known and respected scholar, researcher, and educator. Mo Jamshidi has spent his professional career formalizing and extending the field of large-scale complex systems (LSS) engineering resulting in educating numerous graduates specifically, ethnic minorities. He has made significant contributions in modeling, optimization, CAD, control and applications of large-scale systems leading to his current global role in formalizing system of systems engineering (SoSE), as a new field. His books on complex LSS and SoSE have filled a vacuum in cyber-physical systems literature for the 21st Century. His contributions to ethnic minority engineering education commenced with his work at the University of New Mexico (UNM, Tier-I Hispanic Serving Institution) in 1980 through a NASA JPL grant. Followed by several more major federal grants, he formalized a model for educating minorities, called VI-P Pyramid where K-12 students(bottom of pyramid) to doctoral (top of pyramid) students form a seamless group working on one project. Upper level students mentor lower ones on a sequential basis. Since 1980, he has graduated over 114 minority students consisting of 62 Hispanics, 34 African Americans., 15 Native Americans, and 3 Pacific Islanders. This book contains contributed chapters from colleagues, and former and current students of Professor Jamshidi. Areas of focus are: control systems, energy and system of systems, robotics and soft computing.

Encyclopaedia of Mathematics

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9400903650
Total Pages : 743 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Decentralized Neural Control: Application to Robotics

Author : Ramon Garcia-Hernandez
Publisher : Springer
ISBN 13 : 3319533126
Total Pages : 121 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Decentralized Neural Control: Application to Robotics by : Ramon Garcia-Hernandez

Download or read book Decentralized Neural Control: Application to Robotics written by Ramon Garcia-Hernandez and published by Springer. This book was released on 2017-02-05 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a decentralized approach for the identification and control of robotics systems. It also presents recent research in decentralized neural control and includes applications to robotics. Decentralized control is free from difficulties due to complexity in design, debugging, data gathering and storage requirements, making it preferable for interconnected systems. Furthermore, as opposed to the centralized approach, it can be implemented with parallel processors. This approach deals with four decentralized control schemes, which are able to identify the robot dynamics. The training of each neural network is performed on-line using an extended Kalman filter (EKF). The first indirect decentralized control scheme applies the discrete-time block control approach, to formulate a nonlinear sliding manifold. The second direct decentralized neural control scheme is based on the backstepping technique, approximated by a high order neural network. The third control scheme applies a decentralized neural inverse optimal control for stabilization. The fourth decentralized neural inverse optimal control is designed for trajectory tracking. This comprehensive work on decentralized control of robot manipulators and mobile robots is intended for professors, students and professionals wanting to understand and apply advanced knowledge in their field of work.

Pareto-Nash-Stackelberg Game and Control Theory

Author : Valeriu Ungureanu
Publisher : Springer
ISBN 13 : 3319751514
Total Pages : 352 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Pareto-Nash-Stackelberg Game and Control Theory by : Valeriu Ungureanu

Download or read book Pareto-Nash-Stackelberg Game and Control Theory written by Valeriu Ungureanu and published by Springer. This book was released on 2018-03-09 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive new, multi-objective and integrative view on traditional game and control theories. Consisting of 15 chapters, it is divided into three parts covering noncooperative games; mixtures of simultaneous and sequential multi-objective games; and multi-agent control of Pareto-Nash-Stackelberg-type games respectively. Can multicriteria optimization, game theory and optimal control be integrated into a unique theory? Are there mathematical models and solution concepts that could constitute the basis of a new paradigm? Is there a common approach and method to solve emerging problems? The book addresses these and other related questions and problems to create the foundation for the Pareto-Nash-Stackelberg Game and Control Theory. It considers a series of simultaneous/Nash and sequential/Stackelberg games, single-criterion and multicriteria/Pareto games, combining Nash and Stackelberg game concepts and Pareto optimization, as well as a range of notions related to system control. In addition, it considers the problems of finding and representing the entire set of solutions. Intended for researches, professors, specialists, and students in the areas of game theory, operational research, applied mathematics, economics, computer science and engineering, it also serves as a textbook for various courses in these fields.

Mathematical Optimization Theory and Operations Research: Recent Trends

Author : Alexander Strekalovsky
Publisher : Springer Nature
ISBN 13 : 3030864332
Total Pages : 515 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Mathematical Optimization Theory and Operations Research: Recent Trends by : Alexander Strekalovsky

Download or read book Mathematical Optimization Theory and Operations Research: Recent Trends written by Alexander Strekalovsky and published by Springer Nature. This book was released on 2021-09-20 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes refereed proceedings of the 20th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2021, held in Irkutsk, Russia, in July 2021. Due to the COVID-19 pandemic the conference was held online. The 31 full papers and 3 short papers presented in this volume were carefully reviewed and selected from a total of 102 submissions. The papers in the volume are organised according to the following topical headings: continuous optimization; integer programming and combinatorial optimization; operational research applications; optimal control.

Non-cooperative Stochastic Differential Game Theory of Generalized Markov Jump Linear Systems

Author : Cheng-ke Zhang
Publisher : Springer
ISBN 13 : 331940587X
Total Pages : 196 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Non-cooperative Stochastic Differential Game Theory of Generalized Markov Jump Linear Systems by : Cheng-ke Zhang

Download or read book Non-cooperative Stochastic Differential Game Theory of Generalized Markov Jump Linear Systems written by Cheng-ke Zhang and published by Springer. This book was released on 2016-09-02 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically studies the stochastic non-cooperative differential game theory of generalized linear Markov jump systems and its application in the field of finance and insurance. The book is an in-depth research book of the continuous time and discrete time linear quadratic stochastic differential game, in order to establish a relatively complete framework of dynamic non-cooperative differential game theory. It uses the method of dynamic programming principle and Riccati equation, and derives it into all kinds of existence conditions and calculating method of the equilibrium strategies of dynamic non-cooperative differential game. Based on the game theory method, this book studies the corresponding robust control problem, especially the existence condition and design method of the optimal robust control strategy. The book discusses the theoretical results and its applications in the risk control, option pricing, and the optimal investment problem in the field of finance and insurance, enriching the achievements of differential game research. This book can be used as a reference book for non-cooperative differential game study, for graduate students majored in economic management, science and engineering of institutions of higher learning.

Optimal Control and Dynamic Games

Author : Christophe Deissenberg
Publisher : Springer Science & Business Media
ISBN 13 : 0387258051
Total Pages : 351 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Optimal Control and Dynamic Games by : Christophe Deissenberg

Download or read book Optimal Control and Dynamic Games written by Christophe Deissenberg and published by Springer Science & Business Media. This book was released on 2005-11-03 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Control and Dynamic Games has been edited to honor the outstanding contributions of Professor Suresh Sethi in the fields of Applied Optimal Control. Professor Sethi is internationally one of the foremost experts in this field. He is, among others, co-author of the popular textbook "Sethi and Thompson: Optimal Control Theory: Applications to Management Science and Economics". The book consists of a collection of essays by some of the best known scientists in the field, covering diverse aspects of applications of optimal control and dynamic games to problems in Finance, Management Science, Economics, and Operations Research. In doing so, it provides both a state-of-the-art overview over recent developments in the field, and a reference work covering the wide variety of contemporary questions that can be addressed with optimal control tools, and demonstrates the fruitfulness of the methodology.

H-Infinity Optimal Control and Related Minimax Design Problems

Author : Tamer Başar
Publisher : Springer Science & Business Media
ISBN 13 : 0817647562
Total Pages : 418 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis H-Infinity Optimal Control and Related Minimax Design Problems by : Tamer Başar

Download or read book H-Infinity Optimal Control and Related Minimax Design Problems written by Tamer Başar and published by Springer Science & Business Media. This book was released on 2008-01-21 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to one of the fastest developing fields in modern control theory - the so-called H-infinity optimal control theory. Based mostly on recent work by the authors, the book is written on a good mathematical level. Many results in it are original.

Durable-Strategies Dynamic Games

Author : David W. K. Yeung
Publisher : Springer Nature
ISBN 13 : 3030927423
Total Pages : 311 pages
Book Rating : 4.0/5 (39 download)

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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 and published by Springer Nature. This book was released on 2022-03-31 with total page 311 pages. 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

Applied Artificial Higher Order Neural Networks for Control and Recognition

Author : Zhang, Ming
Publisher : IGI Global
ISBN 13 : 1522500642
Total Pages : 538 pages
Book Rating : 4.5/5 (225 download)

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Book Synopsis Applied Artificial Higher Order Neural Networks for Control and Recognition by : Zhang, Ming

Download or read book Applied Artificial Higher Order Neural Networks for Control and Recognition written by Zhang, Ming and published by IGI Global. This book was released on 2016-05-05 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, Higher Order Neural Networks (HONNs) have been widely adopted by researchers for applications in control signal generating, pattern recognition, nonlinear recognition, classification, and predition of control and recognition scenarios. Due to the fact that HONNs have been proven to be faster, more accurate, and easier to explain than traditional neural networks, their applications are limitless. Applied Artificial Higher Order Neural Networks for Control and Recognition explores the ways in which higher order neural networks are being integrated specifically for intelligent technology applications. Emphasizing emerging research, practice, and real-world implementation, this timely reference publication is an essential reference source for researchers, IT professionals, and graduate-level computer science and engineering students.