An Introduction to Optimal Control Theory: The Dynamic Programming Approach

Hernández-Lerma, Onésimo (Author)/ Laura-Guarachi, Leonardo Ramiro (Author)/ Mendoza-Palacios, Saúl (Author)/ González-Sánchez, David (Author)

ISBN 10: 3031211383 ISBN 13: 9783031211386
Published by Springer, 2023
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This book introduces optimal control problems for large families of deterministic and stochastic systems with discrete or continuous time parameter. These families include most of the systems studied in many disciplines, including Economics, Engineering, Operations Research, and Management Science, among many others.

The main objective is to give a concise, systematic, and reasonably self contained presentation of some key topics in optimal control theory. To this end, most of the analyses are based on the dynamic programming (DP)...

About the Author: David Gonzalez-Sanchez is an associate professor at the Mathematics Department of Universidad de Sonora and CONACYT, Mexico. He obtained a PhD degree in mathematics at CINVESTAV-IPN and a Masters in Economics at CIDE, both in Mexico. His main research interests are optimal control and game theory as well as some of its applications.


Onésimo Henández-Lerma is a researcher in topics related to discrete- and continuous-time stochastic control problems and dynamic games. He is a member of the Inaugural Class of Fellows of the American Mathematical Society.

Leonardo Laura-Guarachi received the  Ph. D. degree in Mathematical Sciences from the Universidad Nacional Autónoma de México. Currently he is an associate professor at the SEPI-ESE-IPN.  His research interests include optimal control problems, dynamic games, and their applications.

Saul Mendoza-Palacios is a researcher at the Center for Economic Studies of El Colegio de México. He concluded his doctoral studies at the Mathematics Department of CINVESTAV-IPN. His research interest are in evolutionary games, optimal transport theory in market matching models, optimal control, and applications in economics.

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Title: An Introduction to Optimal Control Theory: ...
Publisher: Springer
Publication Date: 2023
Binding: Hardcover
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Hernández-Lerma, Onésimo; Laura-Guarachi, Leonardo R.; Mendoza-Palacios, Saul; González-Sánchez, David
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Hernández-Lerma, Onésimo; Laura-Guarachi, Leonardo R.; Mendoza-Palacios, Saul; González-Sánchez, David
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