Global stabilization in nonlinear discrete systems with time-delay

Anatoli Ivanov, Musa A. Mammadov, Sergei I. Trofimchuk

Research output: Contribution to journalArticle

4 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)251-263
Number of pages13
JournalJournal of Global Optimization
Volume56
Issue number2
DOIs
StatePublished - Jun 1 2013

Fingerprint

Discrete Systems
Optimal Control Problem
Time Delay
Time delay
Stabilization
Nonlinear Systems
Turnpike Property
Nonlinear Difference Equations
Global Asymptotic Stability
Difference equations
Asymptotic stability
Optimal Solution
Scalar
Economics
Sufficient Conditions
Optimal control
Class
Turnpike
Global asymptotic stability
Optimal solution

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Control and Optimization
  • Management Science and Operations Research
  • Applied Mathematics

Cite this

Ivanov, Anatoli ; Mammadov, Musa A. ; Trofimchuk, Sergei I. / Global stabilization in nonlinear discrete systems with time-delay. In: Journal of Global Optimization. 2013 ; Vol. 56, No. 2. pp. 251-263.
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Global stabilization in nonlinear discrete systems with time-delay. / Ivanov, Anatoli; Mammadov, Musa A.; Trofimchuk, Sergei I.

In: Journal of Global Optimization, Vol. 56, No. 2, 01.06.2013, p. 251-263.

Research output: Contribution to journalArticle

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