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Visualization on Stability of Impulsive Cohen-Grossberg Neural Networks with Time-Varying Delays

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Contemporary Methods in Bioinformatics and Biomedicine and Their Applications (BioInfoMed 2020)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 374))

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Abstract

Neural networks of type Cohen-Grossberg (CGNNs) were introduced by Cohen and Grossberg in [1]. Since it releases in 1983 many scientists were working for application of such models in different research fields. One of the most important roles of such systems is the stability it provides within the potential application therefore it’s necessary to be investigated. In real-world, both biological and artificial neural networks have time delays due mainly to the limited speed of signal transmissions and amplifiers switching. Such time delays may affect the dynamic behavior of the network making it unstable or diverge.

Due to the countless different possibilities for modelling, behaviors of impulsive CGNNs have been investigated by many researchers [3–9, 11–13, 23]. Some of the examples, as theoretical results, given in those results [3, 5–8] are used in this paper as real-world neural networks in order to be viewed their graphical representation of a computer simulation. The effect of the time-varying delays over the stability of the system is investigated.

It is believed that these graphical results are useful for the design and exploration of impulsive CGNNs by researchers and students.

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Funding

This research was funded in part by the European Regional Development Fund through the Operational Program “Science and Education for Smart Growth” under contract UNITe No. BG05M2OP001–1.001–0004 (2018–2023).

Author information

Authors and Affiliations

  1. Department of Mathematics, Technical University of Sofia, Burgasko Shose Street, 8800, Sliven, Bulgaria

    Gani Stamov

  2. Department of Computer Systems and Technologies, “Prof. Dr. Asen Zlatarov” University, Prof. Yakinov 1 Street, 8010, Burgas, Bulgaria

    Stanislav Simeonov & Ivan Torlakov

Authors
  1. Gani Stamov
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  2. Stanislav Simeonov
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  3. Ivan Torlakov
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Editor information

Editors and Affiliations

  1. Faculty of Technical Sciences, University Prof. D-r Asen Zlatarov, Burgas, Bulgaria

    Sotir S. Sotirov

  2. Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Tania Pencheva

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  4. Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir T. Atanassov

  5. Intelligent Systems Laboratory, University Prof. D-r Asen Zlatarov, Burgas, Bulgaria

    Evdokia Sotirova

  6. Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Galya Staneva

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Stamov, G., Simeonov, S., Torlakov, I. (2022). Visualization on Stability of Impulsive Cohen-Grossberg Neural Networks with Time-Varying Delays. In: Sotirov, S.S., Pencheva, T., Kacprzyk, J., Atanassov, K.T., Sotirova, E., Staneva, G. (eds) Contemporary Methods in Bioinformatics and Biomedicine and Their Applications. BioInfoMed 2020. Lecture Notes in Networks and Systems, vol 374. Springer, Cham. https://doi.org/10.1007/978-3-030-96638-6_21

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  • DOI: https://doi.org/10.1007/978-3-030-96638-6_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-96637-9

  • Online ISBN: 978-3-030-96638-6

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