Journal of Computational and Applied Mathematics2022,Vol.40320.DOI:10.1016/j.cam.2021.113826

A family of varying-parameter finite-time zeroing neural networks for solving time-varying Sylvester equation and its application

Gerontitis, Dimitrios Behera, Ratikanta Tzekis, Panagiotis Stanimirovic, Predrag
Journal of Computational and Applied Mathematics2022,Vol.40320.DOI:10.1016/j.cam.2021.113826

A family of varying-parameter finite-time zeroing neural networks for solving time-varying Sylvester equation and its application

Gerontitis, Dimitrios 1Behera, Ratikanta 2Tzekis, Panagiotis 1Stanimirovic, Predrag3
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作者信息

  • 1. Int Hellen Univ
  • 2. Univ Cent Florida
  • 3. Univ Nis
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Abstract

A family of varying-parameter finite-time zeroing neural networks (VPFTZNN) is introduced for solving the time-varying Sylvester equation (TVSE). The convergence speed of the proposed VPFTZNN family is analysed and compared with the traditional zeroing neural network (ZNN) and the finite-time zeroing neural network (FTZNN). The behaviour of the proposed neural networks under various activation functions is proved theoretically and verified experimentally. In addition, the stability and noise resistance of the proposed VPFTZNN family are discussed. Further, the proposed VPFTZNN models are applied in the computation of current flows in an electrical network. (c) 2021 Elsevier B.V. All rights reserved.

Key words

Recurrent neural network/Sylvester equation/Zeroing neural network (ZNN)/Varying-parameter finite-time zeroing neural network (VPFTZNN)/ITERATIVE ALGORITHM/DESIGN FORMULA/CONVERGENCE

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出版年

2022
Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
被引量14
参考文献量48
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