vbid/9783319012407

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 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.Typham this is the title: Structure of Approximate Solutions of Optimal Control Problems