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Davydov, A.A. & 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 10.1142/9789812706812_0019.
Full text not available from this repository.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: | 27 Aug 2021 17:38 |
| URI: | https://pure.iiasa.ac.at/8229 |
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