Optimal Control And Differential Games

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Optimal Control And Differential Games

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Author : Georges Zaccour
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Optimal Control And Differential Games written by Georges Zaccour and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.

Optimal control and differential games continue to attract strong interest from researchers interested in dynamical problems and models in management science. This volume explores the application of these methodologies to new as well as to classical decision problems in management sciences and economics. In Part I, optimal control and dynamical systems approaches are used to analyze problems in areas such as monetary policy, pollution control, relationship marketing, drug control, debt financing, and ethical behavior. In Part II differential games are applied to problems such as oligopolistic competition, common resource management, spillovers in foreign direct investments, marketing channels, incentive strategies, and the computation of Markov perfect Nash equilibria. Optimal Control and Differential Games is an excellent reference for researchers and graduate students covering a wide range of emerging and revisited problems in management science.

Optimal Control And Differential Games

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Author : Lev Semenovich Pontri︠a︡gin
language : en
Publisher: American Mathematical Soc.
Release Date : 1990

Optimal Control And Differential Games written by Lev Semenovich Pontri︠a︡gin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.

A collection of 22 papers devoted to questions of optimal control theory and differential games, providing an overview of current trends of research in the area of control systems. Numerous optimization methods are covered as well as necessary and sufficient conditions for optimality."

Stability Control And Differential Games

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Author : Alexander Tarasyev
language : en
Publisher: Springer Nature
Release Date : 2020-05-29

Stability Control And Differential Games written by Alexander Tarasyev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-29 with Technology & Engineering categories.

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.

Optimal Control And Viscosity Solutions Of Hamilton Jacobi Bellman Equations

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Author : Martino Bardi
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-11

Optimal Control And Viscosity Solutions Of Hamilton Jacobi Bellman Equations written by Martino Bardi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-11 with Science categories.

This softcover book is a self-contained account of the theory of viscosity solutions for first-order partial differential equations of Hamilton–Jacobi type and its interplay with Bellman’s dynamic programming approach to optimal control and differential games. It will be of interest to scientists involved in the theory of optimal control of deterministic linear and nonlinear systems. The work may be used by graduate students and researchers in control theory both as an introductory textbook and as an up-to-date reference book.

Stochastic Linear Quadratic Optimal Control Theory Differential Games And Mean Field Problems

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Author : Jingrui Sun
language : en
Publisher: Springer Nature
Release Date : 2020-06-29

Stochastic Linear Quadratic Optimal Control Theory Differential Games And Mean Field Problems written by Jingrui Sun and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-29 with Mathematics categories.

This book gathers the most essential results, including recent ones, on linear-quadratic optimal control problems, which represent an important aspect of stochastic control. It presents results for two-player differential games and mean-field optimal control problems in the context of finite and infinite horizon problems, and discusses a number of new and interesting issues. Further, the book identifies, for the first time, the interconnections between the existence of open-loop and closed-loop Nash equilibria, solvability of the optimality system, and solvability of the associated Riccati equation, and also explores the open-loop solvability of mean-filed linear-quadratic optimal control problems. Although the content is largely self-contained, readers should have a basic grasp of linear algebra, functional analysis and stochastic ordinary differential equations. The book is mainly intended for senior undergraduate and graduate students majoring in applied mathematics who are interested in stochastic control theory. However, it will also appeal to researchers in other related areas, such as engineering, management, finance/economics and the social sciences.

Sufficiency Conditions In Optimal Control And Differential Games

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Author : Harold Lenn Stalford
language : en
Publisher:
Release Date : 1900

Sufficiency Conditions In Optimal Control And Differential Games written by Harold Lenn Stalford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1900 with categories.

Differential Games And Control Theory Iii

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Author : Pan-Tai Liu
language : en
Publisher: CRC Press
Release Date : 2020-12-17

Differential Games And Control Theory Iii written by Pan-Tai Liu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-17 with Mathematics categories.

This book is based on the Third Kingston Conference on Differential Games and Control Theory held at the University of Rhode Island June 5-8, 1978. It deals with deterministic systems and stochastic systems, and is helpful for the researchers in applied mathematics.

Introduction To Differential Games And Control Theory

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Author : V. N. Lagunov
language : en
Publisher:
Release Date : 1985

Introduction To Differential Games And Control Theory written by V. N. Lagunov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Control theory categories.

Optimal Control And Differential Games

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Author :
language : en
Publisher:
Release Date : 1999

Optimal Control And Differential Games written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Control theory categories.

Generalized Characteristics Of First Order Pdes

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Author : Arik Melikyan
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-05-15

Generalized Characteristics Of First Order Pdes written by Arik Melikyan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-15 with Mathematics categories.

In some domains of mechanics, physics and control theory boundary value problems arise for nonlinear first order PDEs. A well-known classical result states a sufficiency condition for local existence and uniqueness of twice differentiable solution. This result is based on the method of characteristics (MC). Very often, and as a rule in control theory, the continuous nonsmooth (non-differentiable) functions have to be treated as a solutions to the PDE. At the points of smoothness such solutions satisfy the equation in classical sense. But if a function satisfies this condition only, with no requirements at the points of nonsmoothness, the PDE may have nonunique solutions. The uniqueness takes place if an appropriate matching principle for smooth solution branches defined in neighboring domains is applied or, in other words, the notion of generalized solution is considered. In each field an appropriate matching principle are used. In Optimal Control and Differential Games this principle is the optimality of the cost function. In physics and mechanics certain laws must be fulfilled for correct matching. A purely mathematical approach also can be used, when the generalized solution is introduced to obtain the existence and uniqueness of the solution, without being aimed to describe (to model) some particular physical phenomenon. Some formulations of the generalized solution may meet the modelling of a given phenomenon, the others may not.