The aim of this book is to furnish the reader with a rigorous and
detailed exposition of the concept of control parametrization and time
scaling transformation. It presents computational solution techniques
for a special class of constrained optimal control problems as well as
applications to some practical examples. The book may be considered an
extension of the 1991 monograph A Unified Computational Approach Optimal
Control Problems, by K.L. Teo, C.J. Goh, and K.H. Wong. This publication
discusses the development of new theory and computational methods for
solving various optimal control problems numerically and in a unified
fashion. To keep the book accessible and uniform, it includes those
results developed by the authors, their students, and their past and
present collaborators. A brief review of methods that are not covered in
this exposition, is also included.
Knowledge gained from this book may inspire advancement of new
techniques to solve complex problems that arise in the future. This book
is intended as reference for researchers in mathematics, engineering,
and other sciences, graduate students and practitioners who apply
optimal control methods in their work. It may be appropriate reading
material for a graduate level seminar or as a text for a course in
optimal control.