- Title
- Asymptotical stability of optimal paths in nonconvex problems
- Creator
- Mammadov, Musa
- Date
- 2009
- Type
- Text; Book chapter
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/58609
- Identifier
- vital:3668
- Identifier
-
https://doi.org/10.1007/978-0-387-98096-6_5
- Identifier
- ISBN:9780387980959
- Abstract
- In this chapter we study the turnpike property for the nonconvex optimal control problems described by the differential inclusion . We study the infinite horizon problem of maximizing the functional as T grows to infinity. The purpose of this chapter is to avoid the convexity conditions usually assumed in turnpike theory. A turnpike theorem is proved in which the main conditions are imposed on the mapping a and the function u. It is shown that these conditions may hold for mappings a with nonconvex images and for nonconcave functions u.
- Publisher
- Springer
- Relation
- Optimization Chapter 5 p. 95-134
- Rights
- Copyright Springer
- Rights
- This metadata is freely available under a CCO license
- Subject
- Turnpike property; Differential inclusion; Functional
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