Nonlinear Optimal Control Theory
1st Edition
Published on 25. August 2012
392 pages
978-1-040-05830-5 (ISBN)
Description
Nonlinear Optimal Control Theory presents a deep, wide-ranging introduction to the mathematical theory of the optimal control of processes governed by ordinary differential equations and certain types of differential equations with memory. Many examples illustrate the mathematical issues that need to be addressed when using optimal control techniques in diverse areas.
Drawing on classroom-tested material from Purdue University and North Carolina State University, the book gives a unified account of bounded state problems governed by ordinary, integrodifferential, and delay systems. It also discusses Hamilton-Jacobi theory. By providing a sufficient and rigorous treatment of finite dimensional control problems, the book equips readers with the foundation to deal with other types of control problems, such as those governed by stochastic differential equations, partial differential equations, and differential games.
Drawing on classroom-tested material from Purdue University and North Carolina State University, the book gives a unified account of bounded state problems governed by ordinary, integrodifferential, and delay systems. It also discusses Hamilton-Jacobi theory. By providing a sufficient and rigorous treatment of finite dimensional control problems, the book equips readers with the foundation to deal with other types of control problems, such as those governed by stochastic differential equations, partial differential equations, and differential games.
Reviews / Votes
This book provides a thorough introduction to optimal control theory for nonlinear systems. ... The book is enhanced by the inclusion of many examples, which are analyzed in detail using Pontryagin's principle. ... An important feature of the book is its systematic use of a relaxed control formulation of optimal control problems. ...-From the Foreword by Wendell Fleming
... more than a very useful research account and a handy reference to users of the theory-they also make it a pleasant and helpful study opportunity to students and other newcomers to the theory of optimal control.
-Zvi Artstein, in Mathematical Reviews
More details
Series
Edition
1. Auflage
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
ISBN-13
978-1-040-05830-5 (9781040058305)
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Schweitzer Classification
Other editions
Additional editions
Leonard David Berkovitz | Negash G. Medhin
Nonlinear Optimal Control Theory
Book
10/2024
1st Edition
Chapman & Hall/CRC
€93.03
Shipment within 10-20 days
Leonard David Berkovitz | Negash G. Medhin
Nonlinear Optimal Control Theory
Book
08/2012
1st Edition
CRC Press
€207.40
Shipment within 15-20 days
Persons
Leonard David Berkovitz, Negash G. Medhin
Content
Examples of Control Problems. Formulation of Control Problems. Relaxed Controls. Existence Theorems; Compact Constraints. Existence Theorems; Non Compact Constraints. The Maximum Principle and Some of its Applications. Proof of the Maximum Principle. Examples. Systems Governed by Integrodifferential Systems. Hereditary Systems. Bounded State Problems. Hamilton-Jacobi Theory. Bibliography. Index.
