Global stabilization in nonlinear discrete systems with time-delay

Ivanov A. F., MƏMMƏDOV M., Trofimchuk S. I.

Journal of Global Optimization, vol.56, no.2, pp.251-263, 2013 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Abstract
  • Cild: 56 Say: 2
  • Nəşr tarixi: 2013
  • Doi nömrəsi: 10.1007/s10898-012-9862-y
  • jurnalın adı: Journal of Global Optimization
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.251-263
  • Açar sözlər: Global asymptotic stability, Optimal control, Scalar difference equations with delay, Turnpike property in time-delay systems
  • Adres: Bəli

Qısa məlumat

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.