Global stabilization in nonlinear discrete systems with time-delay

نویسندگان

  • Anatoli F. Ivanov
  • Musa A. Mammadov
  • Sergei I. Trofimchuk
چکیده

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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عنوان ژورنال:
  • J. Global Optimization

دوره 56  شماره 

صفحات  -

تاریخ انتشار 2013