Introduction

Alexander J. Zaslavski
Additional contact information
Alexander J. Zaslavski: The Technion - Israel Institute of Technology

Chapter Chapter 1 in Turnpike Theory of Continuous-Time Linear Optimal Control Problems, 2015, pp 1-19 from Springer

Abstract: Abstract The study of the existence and the structure of solutions of optimal control problems defined on infinite intervals and on sufficiently large intervals has recently been a rapidly growing area of research. See, for example, [2–4, 6–11, 13, 14, 16, 19, 20, 22, 25, 27, 32–34, 36, 37, 46–49, 51, 52] and the references mentioned therein. These problems arise in engineering [1, 23, 44, 56, 57], in models of economic growth [12, 13, 17, 22, 26, 31, 35, 39–41, 44, 45, 53, 55], in the game theory [18, 21, 43, 44, 50, 53, 54], in infinite discrete models of solid-state physics related to dislocations in one-dimensional crystals [5, 42], and in the theory of thermodynamical equilibrium for materials [15, 24, 28–30]. In this chapter we explain the turnpike phenomenon for a simple class of variational problems, discuss certain turnpike results obtained in our previous research, and describe the structure of the book.

Keywords: Turnpike Phenomenon; Trajectory-control Pair; Approximate Optimal Trajectories; Turnpike Property; Infinite Horizon Optimal Control Problem (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-19141-6_1

Ordering information: This item can be ordered from
http://www.springer.com/9783319191416

DOI: 10.1007/978-3-319-19141-6_1

Access Statistics for this chapter

More chapters in Springer Optimization and Its Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().