A Variational Approach to Optimal Control of ODEs - Softcover

Pablo Pedregal

 
9781611977103: A Variational Approach to Optimal Control of ODEs
Softcover
ISBN 10: 161197710X ISBN 13: 9781611977103
Publisher: SIAM-Society for Industrial and Applied Mathematics, 2022

Synopsis

This self-contained book by Pablo Pedregal presents in a unified, systematic way the basic principles of optimal control governed by ODEs. Using a variational perspective, the author incorporates important restrictions like constraints for control and state, as well as the state system itself, into the equivalent variational reformulation of the problem. The fundamental issues of existence of optimal solutions, optimality conditions, and numerical approximation are then examined from this variational viewpoint. Inside, readers will find •a unified approach to all the basic issues of optimal control, •academic and real-world examples testing the book’s variational approach, and •a rigorous treatment stressing ideas and arguments rather than the underlying mathematical formalism. A Variational Approach to Optimal Control of ODEs is mainly for applied analysts, applied mathematicians, and control engineers, but will also be helpful to other scientists and engineers who want to understand the basic principles of optimal control governed by ODEs. It requires no prerequisites in variational problems or expertise in numerical approximation. It can be used for a first course in optimal control.

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About the Author

Pablo Pedregal is professor of applied mathematics at University of Castilla-La Mancha in Spain. He has written more than 100 scientific articles and several technical books. His research is focused on variational techniques applied to optimization problems in areas like calculus of variations, optimal control, optimal design in continuous media, nonlinear elasticity, and inverse problems.

"About this title" may belong to another edition of this title.

Publisher
SIAM-Society for Industrial and Applied Mathematics
Publication date
2022
Language
English
ISBN 10 
161197710X
ISBN 13 
9781611977103
Binding
Paperback
Number of pages
201