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Infinite Dimensional Optimal Control

In: Turnpike Phenomenon and Symmetric Optimization Problems

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  • Alexander Zaslavski

    (Technion-Israel Institute of Technol)

Abstract

In this chapter we study the turnpike phenomenon for continuous-time optimal control problems in infinite dimensional spaces that have a certain symmetric property. To have the turnpike property means, roughly speaking, that the approximate solutions of the problems are determined mainly by the integrand and are essentially independent of the choice of interval and endpoint conditions, except in regions close to the endpoints. It is shown that for our class of problems the turnpike is a minimizer of the integrand. We also study the structure of approximate solutions on large intervals in the regions close to the right end points. The results of this chapter are new. They will be obtained for two large classes of problems that will be treated simultaneously.

Suggested Citation

  • Alexander Zaslavski, 2022. "Infinite Dimensional Optimal Control," Springer Optimization and Its Applications, in: Turnpike Phenomenon and Symmetric Optimization Problems, chapter 0, pages 193-265, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-96973-8_6
    DOI: 10.1007/978-3-030-96973-8_6
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