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A Note on the Cross Gramian for Non-Symmetric Systems

Systems Science and Control Engineering - 2016
The cross gramian matrix is a tool for model reduction and system identification, but it is only computable for square control systems. For symmetric systems the cross gramian possesses a useful relation to the system's associated Hankel singular values. Yet, many real-life models are neither square nor symmetric. In this work, concepts from decentralized control are used to approximate a cross gramian for non-symmetric and non-square systems. To illustrate this new non-symmetric cross gramian, it is applied in the context of model order reduction.

Références BibTex

@Article{HO16a,
  author       = {Himpe, C. and Ohlberger, M.},
  title        = {A Note on the Cross Gramian for Non-Symmetric Systems},
  journal      = {Systems Science and Control Engineering},
  year         = {2016},
  publisher    = {Taylor \& Francis},
  doi          = {10.1080/21642583.2016.1215273},
  url          = \{/2016/HO16a},
}

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