Barrier Functionals for Output Functional Estimation of PDEs
Optimization and Control
2014-12-11 v1
Abstract
We propose a method for computing bounds on output functionals of a class of time-dependent PDEs. To this end, we introduce barrier functionals for PDE systems. By defining appropriate unsafe sets and optimization problems, we formulate an output functional bound estimation approach based on barrier functionals. In the case of polynomial data, sum of squares (SOS) programming is used to construct the barrier functionals and thus to compute bounds on the output functionals via semidefinite programs (SDPs). An example is given to illustrate the results.
Keywords
Cite
@article{arxiv.1412.3169,
title = {Barrier Functionals for Output Functional Estimation of PDEs},
author = {Mohamadreza Ahmadi and Giorgio Valmorbida and Antonis Papachristodoulou},
journal= {arXiv preprint arXiv:1412.3169},
year = {2014}
}
Comments
8 pages, 1 figure, preprint submitted to 2015 American Control Conference