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arXiv · 1401.0235

Partial Observability and its Consistency for PDEs

Wei Kang·Liang Xu·Francis X. Giraldo
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Abstract

In this paper, a quantitative measure of partial observability is defined for PDEs. The quantity is proved to be consistent if the PDE is approximated using well-posed approximation schemes. A first order approximation of an unobservability index using an empirical Gramian is introduced. Several examples are presented to illustrate the concept of partial observability, including Burgers' equation and a one-dimensional nonlinear shallow water equation.

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Wei Kang, Liang Xu, Francis X. Giraldo. 2014-01-01. Partial Observability and its Consistency for PDEs. https://arxiv.org/abs/1401.0235

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