An Introduction to Optimal Control Problems in Life Sciences and Economics: From Mathematical Models to Numerical Simulation with MATLAB® (Modeling ... in Science, Engineering and Technology)

✍ Scribed by Sebastian Aniţa, Viorel Arnăutu, Vincenzo Capasso

• Publisher: Birkhäuser
• Year: 2010
• Tongue: English
• Leaves: 241
• Category: Library

✦ Synopsis

Combining 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 ideas, and carefully presented MATLAB® programs help foster an understanding of the basics, but also lead the way to new, independent research.

With minimal prerequisites and exercises in each chapter, this work serves as an excellent textbook and reference for graduate and advanced undergraduate students, researchers, and practitioners in mathematics, physics, engineering, computer science, as well as biology, biotechnology, economics, and finance.

✦ Table of Contents

An Introduction to Optimal Control Problems in Life Sciences and Economics
Preface
Symbols and Notations
Contents
1 An introduction to MATLAB®. Elementary models with applications
2 Optimal control of ordinary differential systems. Optimality conditions
3 Optimal control of ordinary differential systems. Gradient methods
4 Optimal harvesting for age-structured population
5 Optimal control of diffusive models
A Appendices
References
Index