Using $\BBH_{2}$-Control Performance Metrics for the Optimal Actuator Location of Distributed Parameter Systems

@article{Morris2015Using,
  title={Using  \$\BBH\_\{2\}\$-Control Performance Metrics for the Optimal Actuator Location of Distributed Parameter Systems},
  author={Kirsten A. Morris and Michael A. Demetriou and Steven D. Yang},
  journal={IEEE Transactions on Automatic Control},
  year={2015},
  volume={60},
  pages={450-462}
}
This paper is concerned with the use of H2-control performance metrics in finding optimal actuator locations for a class of infinite-dimensional systems. Conditions that guarantee convergence of the optimal actuator location for the finite-dimensional representation of the infinite-dimensional system to the optimal actuator location of the original infinite-dimensional system are provided. Minimizing an H2-performance index, parameterized by the possible actuator locations and disturbance… 
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