Abstract
Discrete optimal control problems are considered, for which periodic solutions of unknown period are to be found, which minimize the mean costs per unit time, This mixed-integer programming problems of periodic optimization are treated by a new duality approach making no use of convexity conditions. In the case of a finite state space a new constructive method is given that leads to a strong duality theorem.
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Ortlieb, C.P. (1980). Optimale Periodische Steuerung Diskreter Prozesse. In: Collatz, L., Meinardus, G., Wetterling, W. (eds) Konstruktive Methoden der finiten nichtlinearen Optimierung. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 55. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6322-3_11
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DOI: https://doi.org/10.1007/978-3-0348-6322-3_11
Publisher Name: Birkhäuser, Basel
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