Overview
- An introduction to the main tools of MATLAB, as well as programs that move from relatively simple ODE applications to more complex PDE models
- Numerous applications to a wide range of subject areas, including HIV and insulin treatments, population dynamics, and stock management
- Exploration of cutting-edge topics in later chapters designed to stimulate further research and theses projects
- Exercises in each chapter
- Includes supplementary material: sn.pub/extras
Part of the book series: Modeling and Simulation in Science, Engineering and Technology (MSSET)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Combining two important and growing areas of applied mathematics—control theory and modeling—this textbook introduces and builds on methods for simulating and tackling concrete problems in a variety of applied sciences.
Emphasizing "learning by doing," the authors focus on examples and applications to real-world problems. An elementary presentation of advanced concepts, proofs to introduce new concepts, and carefully presented MATLAB® programs guide the reader through methods in optimal control and related models. This approach not only fosters an understanding of the basic topics, but also leads the way to new, independent research.
With minimal prerequisites and exercises in each chapter, An Introduction to Optimal Control Problems in Life Sciences and Economics, serves as an excellent textbook for graduate and advanced undergraduate courses in mathematics, physics, engineering, computer science, as well as biology, biotechnology, economics, and finance. The work is also a useful reference for researchers and practitioners working with optimal control theory in the above areas.
Reviews
From the reviews:
“This textbook for graduate students introduces the reader to the basic results and methods in optimal control and applies these methods to problems in life sciences and economics, using MATLAB. … The book contains many figures and MATLAB programs … . Each chapter is concluded with bibliographical notes and theoretical and MATLAB exercises. In a short appendix, basic results from functional analysis and ODEs are provided.” (W. Huyer, Monatshefte für Mathematik, 2013)
“This is an interesting and useful textbook that introduces the reader to methods of optimal control through easily accessible exercises. It is possible to read the book with no knowledge of MATLAB and only some basic knowledge of calculus, which makes most parts truly accessible to undergraduate students.” (Urszula Ledzewicz, SIAM Review, Vol. 53 (4), 2011)
“This book is a guide for those interested in solving real world optimal control problems, including both the theoretical analysis of their mathematical models and suitable computer programs for numerical simulation. The book is self-contained. … An extensive reference list and an index are also included. The book is intended for graduate students and researchers in mathematics, biology, economics, engineering, and other fields.” (Gheorghe Moroşanu, Zentralblatt MATH, Vol. 1206, 2011)
[T]his is an interesting and useful textbook that introduces the reader to methods of optimal control through easily accessible exercises. It is possible to read the book with no knowledge of MATLAB and only some basic knowledge of calculus, which makes most parts truly accessible to undergraduate students. —SIAM
Authors and Affiliations
About the authors
Sebastian Aniţa is Full Professor on the Faculty of Mathematics at the University “Al.I. Cuza” Iaşi, Romania. His research interests include: optimal control of partial differential equations; mathematical biology; mathematical models in the applied sciences; and industrial problems in the areas of heat transfer and materials science. Professor Aniţa is the author of more than 50 scientific papers in refereed international journals, one monograph, and three textbooks.
Viorel Arnaŭtu is Full Professor on the Faculty of Mathematics at the University “Al.I. Cuza” Iaşi, Romania. His research interests include: numerical methods (theory, algorithms and computer programs) for optimal control problems; numerical methods for Hamilton-Jacobi equations; numerical methods for PDEs and integral equations; and applications to free boundary problems, epidemic models, optimization of plates, laser hardening of steel, 3-D curved mechanical structures, and population dynamics. Professor Arnaŭtu is the author of more than 30 scientific papers in refereed international journals, one monograph, and one textbook.
Vincenzo Capasso is Professor of Probability and Mathematical Statistics at the University of Milano, Italy. He is the Founder and Director of MIRIAM (Milan Research Centre for Industrial and Applied Mathematics) and later of ADAMSS (Research Centre for Advanced Applied Mathematical and Statistical Sciences) at the University of Milan. His research interests include: spatially structured stochastic processes; stochastic geometry; reaction-diffusion systems; statistics of structured stochastic processes; and applications to biology, medicine, and industrial problems. Professor Capasso is the author of more than 150 scientific papers and approximately 10 monographs, edited books, and textbooks by international scientific publishing companies.
Bibliographic Information
Book Title: An Introduction to Optimal Control Problems in Life Sciences and Economics
Book Subtitle: From Mathematical Models to Numerical Simulation with MATLAB®
Authors: Sebastian Aniţa, Viorel Arnăutu, Vincenzo Capasso
Series Title: Modeling and Simulation in Science, Engineering and Technology
DOI: https://doi.org/10.1007/978-0-8176-8098-5
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2011
Hardcover ISBN: 978-0-8176-8097-8Published: 28 October 2010
eBook ISBN: 978-0-8176-8098-5Published: 05 May 2011
Series ISSN: 2164-3679
Series E-ISSN: 2164-3725
Edition Number: 1
Number of Pages: XII, 232
Topics: Mathematical Modeling and Industrial Mathematics, Control and Systems Theory, Systems Theory, Control, Game Theory, Economics, Social and Behav. Sciences, Mathematical and Computational Biology, Ordinary Differential Equations