Stochastic Linear-Quadratic Optimal Control Theory: Differential Games and Mean-Field Problems (Paperback, 1st ed. 2020)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	SpringerBriefs in Mathematics
Release date:	July 2020
First published:	2020
Authors:	Jingrui Sun • Jiongmin Yong
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	130
Edition:	1st ed. 2020
ISBN-13:	978-3-03-048305-0
Categories:	Books > Science & Mathematics > Mathematics > Philosophy of mathematics Books > Science & Mathematics > Mathematics > Probability & statistics Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory Books > Science & Mathematics > Mathematics > Optimization > General Promotions
LSN:	3-03-048305-3
Barcode:	9783030483050

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