期刊
EPL
卷 109, 期 4, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1209/0295-5075/109/40007
关键词
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资金
- National Science Foundation [DMS-1204783]
- AFOSR
- ARO [ARO W911NF-11-1-0511]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1204783] Funding Source: National Science Foundation
We demonstrate that the Koopman eigenfunctions and eigenvalues define a set of intrinsic coordinates, which serve as a natural framework for fusing measurements obtained from heterogeneous collections of sensors in systems governed by nonlinear evolution laws. These measurements can be nonlinear, but must, in principle, be rich enough to allow the state to be reconstructed. We approximate the associated Koopman operator using extended dynamic mode decomposition, so the method only requires time series of data for each set of measurements, and a single set of joint measurements, which are known to correspond to the same underlying state. We apply this procedure to the FitzHugh-Nagumo PDE, and fuse measurements taken at a single point with principal-component measurements. Copyright (C) EPLA, 2015
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