Nonlinear Optimal Control Theory (Chapman & Hall/CRC Applied Mathematics & Nonlinear Science) - Hardcover

Berkovitz, Leonard David; Medhin, Negash G.

Hardcover

ISBN 10: 1466560266 ISBN 13: 9781466560260

Publisher: Chapman and Hall/CRC, 2012

Synopsis

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.

About this title

Review:

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

About this edition

• Publisher: Chapman and Hall/CRC
• Publication date: 2012
• ISBN 10: 1466560266
• ISBN 13: 9781466560260
• Binding: Hardcover
• Edition number: 1
• Number of pages: 392