Structure of Approximate Solutions of Optimal Control Problems

This titleexamines 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 theresultsof 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 ina countable intersectionwhich 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 bookuseful and valuable due to its presentation of solutions to a number of difficult problems in optimal controland presentation of new approaches, techniques and methods.