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 1 2013 |
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All Science Journal Classification (ASJC) codes
- Computer Science Applications
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics
Cite this
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Global stabilization in nonlinear discrete systems with time-delay. / Ivanov, Anatoli; Mammadov, Musa A.; Trofimchuk, Sergei I.
In: Journal of Global Optimization, Vol. 56, No. 2, 01.06.2013, p. 251-263.Research output: Contribution to journal › Article
TY - JOUR
T1 - Global stabilization in nonlinear discrete systems with time-delay
AU - Ivanov, Anatoli
AU - Mammadov, Musa A.
AU - Trofimchuk, Sergei I.
PY - 2013/6/1
Y1 - 2013/6/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84879006672&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84879006672&partnerID=8YFLogxK
U2 - 10.1007/s10898-012-9862-y
DO - 10.1007/s10898-012-9862-y
M3 - Article
AN - SCOPUS:84879006672
VL - 56
SP - 251
EP - 263
JO - Journal of Global Optimization
JF - Journal of Global Optimization
SN - 0925-5001
IS - 2
ER -