Finite Frequency Negative Imaginary Systems

@article{Xiong2010FiniteFN,
  title={Finite Frequency Negative Imaginary Systems},
  author={Junlin Xiong and Ian R. Petersen and Alexander Lanzon},
  journal={IEEE Transactions on Automatic Control},
  year={2010},
  volume={57},
  pages={2917-2922}
}
This technical note is concerned with finite frequency negative imaginary (FFNI) systems. Firstly, the concept of FFNI transfer function matrices is introduced, and the relationship between the FFNI property and the finite frequency positive real property of transfer function matrices is studied. Then the technical note establishes an FFNI lemma which gives a necessary and sufficient condition on matrices appearing in a minimal state-space realization for a transfer function to be FFNI. Also, a… CONTINUE READING
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