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| Title: | Global stabilization in nonlinear discrete systems with time-delay |
| Authors: | Ivanov, A.F.
Mammadov, M.A.
Trofimchuk, S.I. |
| Keywords: | Scalar difference equations with delay
Global asymptotic stability
Turnpike property in time-delay systems
Optimal control |
| Issue Date: | Jun-2013 |
| Publisher: | JOURNAL OF GLOBAL OPTIMIZATION Volume: 56 Issue: 2 Special Issue: SI Pages: 251-263 DOI: 10.1007/s10898-012-9862-y |
| Citation: | JOURNAL OF GLOBAL OPTIMIZATION Volume: 56 Issue: 2 Special Issue: SI Pages: 251-263 DOI: 10.1007/s10898-012-9862-y |
| 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. |
| Description: | Trofimchuk, SI (Trofimchuk, Sergei I.) Univ Talca, Inst Matemat & Fis, Talca, Chile. |
| URI: | http://dspace.utalca.cl/handle/1950/9432 |
| ISSN: | 0925-5001 |
| Appears in Collections: | Artículos en publicaciones ISI - Universidad de Talca
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