Linear Control Systems with Nonconvex Integrands

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

Chapter Chapter 3 in Turnpike Theory of Continuous-Time Linear Optimal Control Problems, 2015, pp 85-125 from Springer

Abstract: Abstract In this chapter we study the existence and structure of optimal trajectories of linear control systems with autonomous nonconvex integrands. For these control systems we establish the existence of optimal trajectories over an infinite horizon and show that the turnpike phenomenon holds. We also study the structure of approximate optimal trajectories in regions close to the endpoints of the time intervals. It is shown that in these regions optimal trajectories converge to solutions of the corresponding infinite horizon optimal control problem which depend only on the integrand.

Keywords: Linear Control Systems; Approximate Optimal Trajectories; Infinite Horizon Optimal Control Problem; Close Regions; Turnpike Results (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_3

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

DOI: 10.1007/978-3-319-19141-6_3

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 ().