A Counterexample in Distributed Optimal Sensing and Control

@article{Yksel2009ACI,
  title={A Counterexample in Distributed Optimal Sensing and Control},
  author={Serdar Y{\"u}ksel and Sekhar Tatikonda},
  journal={IEEE Transactions on Automatic Control},
  year={2009},
  volume={54},
  pages={841-844}
}
This note exhibits that in a distributed multi-sensor, single-controller scenario, for the minimization of a quadratic cost function, linear sensing policies over Gaussian channels are, in general, not optimal. This is in contrast with the corresponding single-sensor problem, which does admit an optimal linear solution. 

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