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Some properties of the positive real matrix

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Abstract

In this paper, some properties of the rational positive real matrix are discussed by means of coprime fraction of a rational matrix. Some equivalent conditions which are natural extension of the rational positive real function, are given for testing a rational positive real matrix.

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References

  1. B. D. O. Anderson and S. Vongpanitlerd, Network Analysis and Synthesis—Modern Systems Theory Approach, Prentice-Hall INC, Englewood Cliffs, New Jersey, 1973.

    Google Scholar 

  2. D. D. Siljak, Algebraic Criterion for Absolute Stability, Optimality and Passivity of Dynamic Systems,Proc. IEE,117: 10 (1970), 2033–2036.

    Google Scholar 

  3. Y. Lundau, Adaptive Control—The Model Reference Approach, Mercel Dekker INC., New York and Basel, 1979.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Systems Science, Academia Sinica, China

    Wang Enping & Wang Chaozhu

Authors
  1. Wang Enping
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  2. Wang Chaozhu
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Enping, W., Chaozhu, W. Some properties of the positive real matrix. Acta Mathematicae Applicatae Sinica 1, 85–92 (1984). https://doi.org/10.1007/BF01883896

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  • DOI: https://doi.org/10.1007/BF01883896

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