This book provides a comprehensive study of turnpike phenomenon
arising in optimal control theory. The focus is on individual
(non-generic) turnpike results which are both mathematically
significant and have numerous applications in engineering and
economic theory. All results obtained in the book are new. New
approaches, techniques, and methods are rigorously presented and
utilize research from finite-dimensional variational problems and
discrete-time optimal control problems to find the necessary
conditions for the turnpike phenomenon in infinite dimensional
spaces. The semigroup approach is employed in the discussion as
well as PDE descriptions of continuous-time dynamics. The main
results on sufficient and necessary conditions for the turnpike
property are completely proved and the numerous illustrative
examples support the material for the broad spectrum of experts.
Mathematicians interested in the calculus of variations, optimal
control and in applied functional analysis will find this book a
useful guide to the turnpike phenomenon in infinite dimensional
spaces. Experts in economic and engineering modeling as well as
graduate students will also benefit from the developed techniques
and obtained results.
General
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