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On the stability of bilinear filters

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Abstract

We consider stability properties of discrete-time bilinear filters. Simple sufficient conditions are given for bounded-input bounded-output stability (with not necessarily zero initial conditions),l p stability, and three other important types of stability. In particular, conditions are given under which asymptotically periodic inputs produce asymptotically periodic outputs with the same period.

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Authors and Affiliations

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

    Kelly K. Johnson & Irwin W. Sandberg

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  1. Kelly K. Johnson
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  2. Irwin W. Sandberg
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Johnson, K.K., Sandberg, I.W. On the stability of bilinear filters. Circuits Systems and Signal Process 17, 691–702 (1998). https://doi.org/10.1007/BF01206569

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  • DOI: https://doi.org/10.1007/BF01206569

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