Global stabilization in nonlinear discrete systems with time-delay

Anatoli Ivanov (), Musa Mammadov () and Sergei Trofimchuk ()

Journal of Global Optimization, 2013, vol. 56, issue 2, 263 pages

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. Copyright Springer Science+Business Media, LLC. 2013

Keywords: Scalar difference equations with delay; Global asymptotic stability; Turnpike property in time-delay systems; Optimal control; Primary: 39A22; 39A30; 39A60; Secondary: 37E5; 49K21 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-012-9862-y

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