- Title
- Global stabilization in nonlinear discrete systems with time-delay
- Creator
- Ivanov, Anatoli; Mammadov, Musa; Trofimchuk, Sergei
- Date
- 2012
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/37224
- Identifier
- vital:4549
- Identifier
-
https://doi.org/10.1007/s10898-012-9862-y
- Identifier
- ISSN:0925-5001
- 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. © 2012 Springer Science+Business Media, LLC.
- Relation
- Journal of Global Optimization Vol.56, no. 2 (2012), p. 1-13
- Rights
- Springer Science+Business Media, LLC.
- Rights
- This metadata is freely available under a CCO license
- Subject
- Global asymptotic stability; Optimal control; Scalar difference equations with delay; Turnpike property in time-delay systems
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