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Structure of Approximate Solutions of Optimal Control Problems

Alexander J. Zaslavski (Autor)

Buch | Softcover

VII, 135 Seiten

2013 | 2013
Springer International Publishing (Verlag)
978-3-319-01239-1 (ISBN)

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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.

-Preface.- 1.Introduction.- 2.Turnpike Properties of Optimal Control Problems.- 3.Infinite Horizon Problems.- 4.Linear Control Systems.- References.

From the reviews:

"The author is interested in properties of approximate solutions which are independent of the interval, for all sufficiently large intervals. The results in this book are focused on the so-called turnpike property of the optimal control problems. ... The book should be of interest to researchers in mathematical economics and/or in optimal control theory and the calculus of variations." (Marian Muresan, Mathematical Reviews, March, 2014)

Erscheint lt. Verlag	16.8.2013
Reihe/Serie	SpringerBriefs in Optimization
Zusatzinfo	VII, 135 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	224 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	Agreeable trajectory-control pair • approximate solution • good trajectory-control pair • turnpike property
ISBN-10	3-319-01239-8 / 3319012398
ISBN-13	978-3-319-01239-1 / 9783319012391
Zustand	Neuware