@inproceedings{a874c62e48d346088bda882f2d4efd4e,
title = "Graph based multi-scale analysis of building system transport models",
abstract = "This paper offers a framework for mutli-scale analysis, modeling, and control design for energy efficient building systems models. Our unique approach is to conceptualize the building systems problems as dynamics (convection-diffusion equations) on a building graph. While the original graph - that resolves the smallest of the scales - is complex, we use the coarse spatio-temporal scales associated with any particular control objective to drive towards an effective (low-dimensional) representation of dynamics on the graph. The key idea here is to use the Perron-Frobenius (P-F) operator for averaging the fast time scales that would decay on account of diffusion in the problem. The framework is presented with aid of a one-room and two-room model problems.",
author = "Mehta, {Prashant G.} and Mihai Dorobantu and Andrzej Banaszuk",
year = "2006",
doi = "10.1109/acc.2006.1656365",
language = "English (US)",
isbn = "1424402107",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1110--1115",
booktitle = "Proceedings of the 2006 American Control Conference",
address = "United States",
note = "2006 American Control Conference ; Conference date: 14-06-2006 Through 16-06-2006",
}