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}
}
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. 
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