# Global stabilization in nonlinear discrete systems with time-delay

@article{Ivanov2013GlobalSI,
title={Global stabilization in nonlinear discrete systems with time-delay},
author={Anatoli F. Ivanov and Musa A. Mammadov and Sergei I. Trofimchuk},
journal={Journal of Global Optimization},
year={2013},
volume={56},
pages={251-263}
}
• Published 1 June 2013
• Mathematics
• Journal of Global Optimization
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.
6 Citations
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