Abstract
This paper is devoted to a study of infinite horizon optimal control problems with time discounting and time averaging criteria in discrete time. It is known that these problems are related to certain in_nite-dimensional linear programming problems, but compactness of the state constraint is a common assumption imposed in analysis of these LP problems. In this paper, we con-sider an unbounded state constraint and use Alexandrofi compactification to carry out the analysis. We also establish asymptotic relationships between the optimal values of problems with time discounting and long-run average criteria.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 110-123 |
| Number of pages | 14 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 29 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2024 |
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics