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Turnpike Properties and Existence of Overtaking Optimal Solutions for Classes of Nonautonomous Nonconvex Control Problems

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Infinite Horizon Optimal Control

Abstract

In the previous chapters it has been seen that the turnpike properties of extremal trajectories play an important role in developing existence results for autonomous and discounted infinite horizon optimal control problems. In particular we remind the reader of the sufficient conditions for overtaking optimality of Theorems 2.4, 2.5, and 4.4 as well as the results of Chapter 5 regarding the reduction to finite rewards. We notice that the results of Chapter 2 are given for the general nonautonomous control system where the results given in Chapters 4 and 5 apply only to autonomous problems.

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© 1991 Springer-Verlag Berlin Heidelberg

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Carlson, D.A., Haurie, A.B., Leizarowitz, A. (1991). Turnpike Properties and Existence of Overtaking Optimal Solutions for Classes of Nonautonomous Nonconvex Control Problems. In: Infinite Horizon Optimal Control. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76755-5_7

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  • DOI: https://doi.org/10.1007/978-3-642-76755-5_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-76757-9

  • Online ISBN: 978-3-642-76755-5

  • eBook Packages: Springer Book Archive

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