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International Conference on Algebraic Informatics

CAI 2019: Algebraic Informatics pp 213–224Cite as

Zeroing Neural Network Based on the Equation AXA = A

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11545))

Abstract

Zeroing Neural Network (ZNN) design arising from different error monitoring functions (or Zeroing functions) defined on the basis of Penrose matrix equations are considered. New Zeroing function based on the Penrose equation AXA = A and initiated ZNN design for computing the time-varying pseudoinverse are defined and investigated. Also, an explicit form of defined model is proposed. Illustrative simulation results are given to verify theoretical results.

The authors gratefully acknowledge support from the Research Project 174013 of the Ministry of Education, Science and Technological Development, Republic of Serbia.

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Author information

Authors and Affiliations

  1. Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000, Niš, Serbia

    Marko D. Petković & Predrag S. Stanimirović

Authors
  1. Marko D. Petković
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  2. Predrag S. Stanimirović
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Corresponding author

Correspondence to Marko D. Petković .

Editor information

Editors and Affiliations

  1. University of Niš, Niš, Serbia

    Miroslav Ćirić

  2. University of Leipzig , Leipzig, Germany

    Manfred Droste

  3. Université Paris Denis Diderot and CNRS, Paris, France

    Jean-Éric Pin

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Petković, M.D., Stanimirović, P.S. (2019). Zeroing Neural Network Based on the Equation AXA = A. In: Ćirić, M., Droste, M., Pin, JÉ. (eds) Algebraic Informatics. CAI 2019. Lecture Notes in Computer Science(), vol 11545. Springer, Cham. https://doi.org/10.1007/978-3-030-21363-3_18

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  • DOI: https://doi.org/10.1007/978-3-030-21363-3_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-21362-6

  • Online ISBN: 978-3-030-21363-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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