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A note on memoryless operators

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Abstract

The class of readout maps of the early state space literature and the class of operators which are both causal and anticausal are compared. The first class is a subset of the second and is shown by example to be a proper subset. A characterization of the smaller class in terms of causality structure is presented. We denote this characterization by the term completely memoryless.

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References

  1. A. Feintuch, Strictly and Strongly Strictly Causal Linear Operators,SIAM J. of Math. Anal., 10, 603–613. 1979.

    Google Scholar 

  2. R. Kalman, P. Falb, and M. Arbib,Topics in Mathematical System Theory, McGraw Hill, New York, 1969.

    Google Scholar 

  3. R. Saeks,Resolution Space Operators and Systems (Lecture Notes in Economics and Mathematical Systems), Springer, New York, 1973.

    Google Scholar 

  4. L. Zadeh and C. Desoer,Linear System Theory, McGraw Hill, New York, 1963.

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Coxson, P.G. A note on memoryless operators. Math. Systems Theory 16, 185–188 (1983). https://doi.org/10.1007/BF01744576

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  • DOI: https://doi.org/10.1007/BF01744576

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