
Foreword
This book provides a thorough introduction to optimal control theory for non-
linear systems. It is a sequel to Berkovitz’s 1974 book entitled Optimal Con-
trol Theory. In optimal control theory, the Pontryagin principle, Bellman’s
dynamic progra mming method, a nd theorems about existence of optimal con-
trols are central topics. Each of these topics is treated carefully. The book
is enhanced by the inclusion of many examples, which are analyzed in de-
tail using Pontryagin’s principle. T he se examples a re diverse. Some arise in
such applica tions as flight mechanics, and chemical and electrical engineer-
ing. Other examples come from pr