Structure of Approximate Solutions of Optimal Control Problems 

Author:
 Zaslavski, Alexander J. 
Series title:  SpringerBriefs in Optimization Ser. 
ISBN:  9783319012391 
Publication Date:  Aug 2013 
Publisher:  Springer

Book Format:  Paperback 
List Price:  USD $54.99 
Book Description:

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 socalled turnpike property of optimal control problems. The author generalizes the results of the turnpike property by considering a class of optimal control problems which...
More DescriptionThis 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 socalled 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.