Abstract
A class of scalar nonlinear difference equations with delay is considered. Sufficient conditions for the global asymptotic stability of a unique equilibrium are given. Applications in economics and other fields lead to consideration of associated optimal control problems. An optimal control problem of maximizing a consumption functional is stated. The existence of optimal solutions is established and their stability (the turnpike property) is proved.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 251-263 |
| Number of pages | 13 |
| Journal | Journal of Global Optimization |
| Volume | 56 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jun 2013 |
All Science Journal Classification (ASJC) codes
- Computer Science Applications
- Management Science and Operations Research
- Control and Optimization
- Applied Mathematics
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Ivanov, A. F., Mammadov, M. A., & Trofimchuk, S. I. (2013). Global stabilization in nonlinear discrete systems with time-delay. Journal of Global Optimization, 56(2), 251-263. https://doi.org/10.1007/s10898-012-9862-y