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A Note on BIBO Stability of Linear Discrete-Space Systems

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Abstract

The cornerstone of the theory of discrete-space single-input single-output linear systems is the idea that every such system has an input-output map H that can be represented by a convolution or the familiar generalization of a convolution. This thinking involves an oversight which, under some mild assumptions, was recently corrected by adding an additional term to the representation. Here we give a criterion for the bounded-input bounded-output stability of such systems.

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References

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, The University of Texas at Austin, Austin, Texas, 78712

    Irwin W. Sandberg

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  1. Irwin W. Sandberg
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Sandberg, I.W. A Note on BIBO Stability of Linear Discrete-Space Systems. Multidimensional Systems and Signal Processing 10, 425–428 (1999). https://doi.org/10.1023/A:1008488016071

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  • DOI: https://doi.org/10.1023/A:1008488016071

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