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Optimal paths for avoiding a radiating source

Pachter, L. S. and Pachter, M. (2001) Optimal paths for avoiding a radiating source. In: Proceedings of the 40th IEEE Conference on Decision and Control. Vol.4. IEEE , Piscataway, NJ, pp. 3581-3586. ISBN 0-78057061-9. https://resolver.caltech.edu/CaltechAUTHORS:20170309-101645949

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Abstract

We consider the problem of navigating between points in the plane so as to minimize the exposure to a radiating source. Specifically, given two points z_1, z_2 in the complex plane, we solve the problem of finding the path C(t) (0 ≤ t ≤ 1) such that C(0)=z_1, C(1)=z_2 and ∫^1_0 |C'(t)|/|C(t)|^k dt is minimized. The parameter k specializes to a number of interesting cases: in particular k=2 pertains to the passive sensor avoidance problem and k=4 entails the active radar avoidance problem. The avoidance paths which minimize exposure may have infinite arc-length. To overcome this problem we introduce a weighted exposure and path length optimization problem whose solution requires a variational approach. The optimal trajectory results we obtain are surprisingly intuitive in the cases of interest.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/CDC.2001.980415DOIArticle
http://ieeexplore.ieee.org/document/980415/PublisherArticle
ORCID:
AuthorORCID
Pachter, L. S.0000-0002-9164-6231
Additional Information:© 2001 IEEE.
Record Number:CaltechAUTHORS:20170309-101645949
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170309-101645949
Official Citation:L. S. Pachter and M. Pachter, "Optimal paths for avoiding a radiating source," Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), Orlando, FL, 2001, pp. 3581-3586 vol.4. doi: 10.1109/.2001.980415
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:74975
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:10 Mar 2017 23:04
Last Modified:24 Feb 2020 10:30

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