Partial Observability and its Consistency for PDEs
Optimization and Control
2014-01-03 v1 Dynamical Systems
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.
Cite
@article{arxiv.1401.0235,
title = {Partial Observability and its Consistency for PDEs},
author = {Wei Kang and Liang Xu and Francis X. Giraldo},
journal= {arXiv preprint arXiv:1401.0235},
year = {2014}
}
Comments
5 figures, 25 pages. arXiv admin note: substantial text overlap with arXiv:1111.5846