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.
General
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