New SVD-based matrix H-inverse vs. minimum-energy perfect control design for state-space LTI MIMO systems

@article{Hunek2016NewSM,
  title={New SVD-based matrix H-inverse vs. minimum-energy perfect control design for state-space LTI MIMO systems},
  author={Wojciech P. Hunek},
  journal={2016 20th International Conference on System Theory, Control and Computing (ICSTCC)},
  year={2016},
  pages={14-19}
}
In this paper a new SVD-based inverse of nonsquare parameter matrices is presented. An intriguing impact of H-inverse on minimum-energy design of perfect control inputs is emphasized. Now, the new inverse corresponds to the polynomial matrix S-inverse introduced by Hunek and Latawiec for systems described in the input-output framework. Note that the new inverse can be extended to cover the polynomial and rational forms, thus giving rise to the introduction of a new class of expected inverses. 

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