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Mathematical Methods in Optimization of Differential Systems
Hardback

Mathematical Methods in Optimization of Differential Systems

$138.99
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This title is printed to order. This book may have been self-published. If so, we cannot guarantee the quality of the content. In the main most books will have gone through the editing process however some may not. We therefore suggest that you be aware of this before ordering this book. If in doubt check either the author or publisher’s details as we are unable to accept any returns unless they are faulty. Please contact us if you have any questions.

This volume is concerned with optimal control problems governed by ordinary differential systems and partial differential equations. The emphasis is on first-order necessary conditions of optimality and the construction of optimal controllers in feedback forms. These subjects are treated using some new concepts and techniques in modern optimization theory, such as Clarke’s generalized gradient, Ekeland’s variational principle, viscosity solution to the Hamilton-Jacobi equation, and smoothing processes for optimal control problems governed by variational inequalities. A substantial part of this book is devoted to applications and examples. A background in advanced calculus should enable readers to understand most of this book, including the statement of the Pontriagin maximum principle and many of the applications. This work should be of interest to graduate students in mathematics and engineering, and researchers in applied mathematics, control theory and systems theory.

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MORE INFO
Format
Hardback
Publisher
Springer
Country
NL
Date
31 October 1994
Pages
262
ISBN
9780792331766

This title is printed to order. This book may have been self-published. If so, we cannot guarantee the quality of the content. In the main most books will have gone through the editing process however some may not. We therefore suggest that you be aware of this before ordering this book. If in doubt check either the author or publisher’s details as we are unable to accept any returns unless they are faulty. Please contact us if you have any questions.

This volume is concerned with optimal control problems governed by ordinary differential systems and partial differential equations. The emphasis is on first-order necessary conditions of optimality and the construction of optimal controllers in feedback forms. These subjects are treated using some new concepts and techniques in modern optimization theory, such as Clarke’s generalized gradient, Ekeland’s variational principle, viscosity solution to the Hamilton-Jacobi equation, and smoothing processes for optimal control problems governed by variational inequalities. A substantial part of this book is devoted to applications and examples. A background in advanced calculus should enable readers to understand most of this book, including the statement of the Pontriagin maximum principle and many of the applications. This work should be of interest to graduate students in mathematics and engineering, and researchers in applied mathematics, control theory and systems theory.

Read More
Format
Hardback
Publisher
Springer
Country
NL
Date
31 October 1994
Pages
262
ISBN
9780792331766