Overview
This title\xa0examines 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. \xa0The author generalizes the\xa0results\xa0of the turnpike property by considering \xa0a class of optimal control problems which is identified with the corresponding complete metric space of objective functions.\xa0This establishes the turnpike property for any element in a set that is in\xa0a countable intersection\xa0which 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\xa0\xa0useful and valuable due to its\xa0 presentation of solutions to a number of difficult problems in optimal control\xa0\xa0and presentation of new approaches, techniques and methods.
