Publications

BibTex format

@inproceedings{Howe:2017:10.1137/1.9781611975024.4,
author = {Howe, S and Parpas, P},
doi = {10.1137/1.9781611975024.4},
pages = {25--32},
title = {Error bounds on the solution to an optimal control problem over clustered consensus networks},
url = {http://dx.doi.org/10.1137/1.9781611975024.4},
year = {2017}
}

Download

RIS format (EndNote, RefMan)

TY  - CPAPER
AB  - In this paper, we obtain a bound on the error term of the solution to a control constrained, linear-quadratic optimal control problem over a clustered consensus network. For large scale systems, the solution may be regarded as com- putationally infeasible due to the increase in dimensionality. However, the two time-scale property of the network that arises from the cluster formation indicates that the optimal control problem can be written in standard singularly per- turbed form. Thus, we are able to obtain a reduced dimen- sion optimal control problem over a reduced dimension net- work where individual nodes within a cluster are collapsed into an aggregate node. The solution to the reduced problem can be shown to be asymptotically equivalent in the singular perturbation parameter to the solution of the original prob- lem. However, for many values of this asymptotic result may fail to be of practical use. We improve on this result by applying a duality theory to the clustered network and derive an upper bound u and lower bound l on the solution to the optimal control problem that holds for arbitrary and, furthermore, satisfies the inequality j u-l-j = O as 0.
AU  - Howe,S
AU  - Parpas,P
DO  - 10.1137/1.9781611975024.4
EP  - 32
PY  - 2017///
SP  - 25
TI  - Error bounds on the solution to an optimal control problem over clustered consensus networks
UR  - http://dx.doi.org/10.1137/1.9781611975024.4
ER  -

Download

DR PANOS PARPAS

Contact

Location

Summary

Citation

BibTex format

RIS format (EndNote, RefMan)