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A Turnpike Result for Discrete-Time Optimal Control Systems

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Nonconvex Optimal Control and Variational Problems

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 82))

Abstract

In this chapter we study a turnpike property of approximate solutions for a general class of discrete-time control systems without discounting and with a compact metric space of states. This class of control systems is identified with a complete metric space of objective functions. We show that for a generic objective function approximate solutions of the corresponding control system possess the turnpike property.

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Zaslavski, A.J. (2013). A Turnpike Result for Discrete-Time Optimal Control Systems. In: Nonconvex Optimal Control and Variational Problems. Springer Optimization and Its Applications, vol 82. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7378-7_12

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