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Global stabilization in nonlinear discrete systems with time-delay |
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| Authors: | Anatoli F. Ivanov Musa A. Mammadov Sergei I. Trofimchuk |
| Affiliation: | 1. Department of Mathematics, Pennsylvania State University, P.O. Box PSU, Lehman, PA, 18627, USA 2. University of Ballarat, Ballarat, VIC, 3353, Australia 3. National ICT Australia, VRL, Melbourne, VIC, 3010, Australia 4. Instituto de Matematica y Fisica, Universidad de Talca, Casilla 747, Talca, Chile |
| 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. |
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