Singularity theory approach to time averaged optimization

Davydov AA & Mena-Matos H (2007). Singularity theory approach to time averaged optimization. In: Singularities in Geometry & Topology. Proceedings of the Trieste Summer School & Workshop. Eds. Brasselet, J-P., Damon, J., L.D.Trang, & Oka, M., Singapore pp. 598-628 [2007]: World Scientific Publishing Co. Pte. Ltd.. ISBN 978-981-270-022-3 DOI:10.1142/9789812706812_0019.

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Abstract

Using singularity theory tools we study the time averaged problem for control systems and profit densities on the circle. We show that the optimal strategy always can be selected within periodic cyclic motions and stationary strategies. When the problem depends additionally on a one dimensional parameter, we analyze generic transitions between these two types of strategies under change of the parameter and classify all generic singularities of the averaged profit as a function of the parameter.

Item Type: Book Section
Uncontrolled Keywords: Singularities; Averaged Optimization; Control Systems
Research Programs: Dynamic Systems (DYN)
Bibliographic Reference: In: J-P. Brasselet, J. Damon, L.D.Trang, M. Oka (eds); Singularities in Geometry & Topology. Proceedings of the Trieste Summer School & Workshop; World Scientific Publishing Co. Pte. Ltd., Singapore pp. 598-628 [2007]
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Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 08:39
Last Modified: 20 Jan 2016 16:44
URI: http://pure.iiasa.ac.at/8229

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