A decomposition approach to distributed analysis of networked systems
| Venue: | Proceedings of the IEE Conference on Decision and Control |
| Citations: | 5 - 1 self |
BibTeX
@INPROCEEDINGS{Langbort_adecomposition,
author = {Cédric Langbort and Lin Xiao and Stephen Boyd},
title = {A decomposition approach to distributed analysis of networked systems},
booktitle = {Proceedings of the IEE Conference on Decision and Control},
year = {},
pages = {3980--3985}
}
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Abstract
Abstract — We present a simple distributed algorithm for analyzing well-posedness and stability of a system composed of different sub-units, interconnected over an arbitrary graph. The procedure consists in solving a set of coupled linear matrix inequalities via a subgradient method, with primal decomposition. The proposed algorithm can be implemented in parallel on the system’s graph and should prove more efficient than conventional semidefinite programming solvers, for very large systems with a high number of states and interconnection variables. I.
Citations
| 2134 | Convex Optimization - Boyd, Vandenberghe - 2004 |
| 39 | Graph Theory,” Second Edition - Diestel - 2000 |
| 17 | a MATLAB toolbox for optimization over symmetric cones, URL http://sedumi.mcmaster.ca - Sturm, SeDuMi |
| 13 | Structural vulnerability of the north american power grid. Phys - Albert, Albert, et al. |
| 7 | 2003 Control of turbulent boundary layers - Kim |
| 7 | Distributed control of heterogeneous systems - Dullerud, D’Andrea - 2004 |
| 6 | Decentralized control information structures preserved under feedback - Rotkowitz, Lall |
| 6 | A convex characterization of classes of problems in control with specific interaction and communication structures - Voulgaris |
| 5 | Nonsmooth Analysis and Optimization - Clarke - 1983 |
| 3 | Distributed asynchronous incremental subgradient methods - Nedic, Bertsekas, et al. - 2000 |
| 3 | An LMI approach to decentralized control - Scorletti, Duc - 2001 |
