Structure of Approximate Solutions of Optimal Control Problems

2013
ISBN: 978-3-319-01239-1
Verlag: Springer International Publishing

Buch, Englisch, 135 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 2175 g

Reihe: SpringerBriefs in Optimization

This title examines the structure of approximate solutions of optimal control problems considered on subintervals of a real line. Specifically at the properties of approximate solutions which are independent of the length of the interval. The results illustrated in this book look into the so-called turnpike property of optimal control problems.  The author generalizes the results of the turnpike property by considering  a class of optimal control problems which is identified with the corresponding complete metric space of objective functions. This establishes the turnpike property for any element in a set that is in a countable intersection which is open everywhere dense sets in the space of integrands; meaning that the turnpike property holds for most optimal control problems. Mathematicians working in optimal control and the calculus of variations and graduate students will find this book  useful and valuable due to its  presentation of solutions to a number of difficult problems in optimal control  and presentation of new approaches, techniques and methods.

Zielgruppe

Research

Autoren/Hrsg.

Zaslavski, Alexander J.

Fachgebiete

• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Regelungstechnik
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
• Mathematik | Informatik Mathematik Operations Research
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie

Inhaltsverzeichnis

Preface.- 1.Introduction.- 2.Turnpike Properties of Optimal Control Problems.- 3.Infinite Horizon Problems.- 4.Linear Control Systems.- References.