On the Relation Between Turnpike Properties for Finite and Infinite Horizon Optimal Control Problems

On the Relation Between Turnpike Properties for Finite and Infinite Horizon Optimal Control Problems

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Article ID: iaor20171775
Volume: 173
Issue: 3
Start Page Number: 727
End Page Number: 745
Publication Date: Jun 2017
Journal: Journal of Optimization Theory and Applications
Authors: , ,
Keywords: optimization
Abstract:

We show that, under appropriate regularity conditions, a finite horizon optimal control problem exhibits the turnpike property, if and only if its infinite horizon counterpart does. We prove the result for both undiscounted and discounted problems and also provide a version which incorporates quantitative information about the convergence rates.

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