Parametric eigenstructure assignment in second-order descriptor linear systems

@article{Duan2004ParametricEA,
  title={Parametric eigenstructure assignment in second-order descriptor linear systems},
  author={Guang-Ren Duan},
  journal={IEEE Transactions on Automatic Control},
  year={2004},
  volume={49},
  pages={1789-1794}
}
This note considers eigenstructure assignment in second-order descriptor linear systems via proportional plus derivative feedback. It is shown that the problem is closely related with a type of so-called second-order Sylvester matrix equations. Through establishing two general parametric solutions to this type of matrix equations, two complete parametric methods for the proposed eigenstructure assignment problem are presented. Both methods give simple complete parametric expressions for the… CONTINUE READING
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