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Further Results on Exponentially Robust Stability of Uncertain Connection Weights of Neutral-Type Recurrent Neural Networks
Author(s) -
Wenxiao Si,
Tao Xie,
Biwen Li
Publication year - 2021
Publication title -
complexity
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 61
eISSN - 1099-0526
pISSN - 1076-2787
DOI - 10.1155/2021/6941701
Subject(s) - piecewise , connection (principal bundle) , robustness (evolution) , transcendental equation , mathematics , upper and lower bounds , dual (grammatical number) , exponential stability , artificial neural network , stability (learning theory) , exponential function , control theory (sociology) , computer science , mathematical optimization , numerical analysis , mathematical analysis , nonlinear system , artificial intelligence , geometry , art , biochemistry , chemistry , physics , literature , control (management) , quantum mechanics , machine learning , gene
Further results on the robustness of the global exponential stability of recurrent neural network with piecewise constant arguments and neutral terms (NPRNN) subject to uncertain connection weights are presented in this paper. Estimating the upper bounds of the two categories of interference factors and establishing a measuring mechanism for uncertain dual connection weights are the core tasks and challenges. Hence, on the one hand, the new sufficient criteria for the upper bounds of neutral terms and piecewise arguments to guarantee the global exponential stability of NPRNN are provided. On the other hand, the allowed enclosed region of dual connection weights is characterized by a four-variable transcendental equation based on the preceding stable NPRNN. In this way, two interference factors and dual uncertain connection weights are mutually restricted in the model of parameter-uncertainty NPRNN, which leads to a dynamic evolution relationship. Finally, the numerical simulation comparisons with stable and unstable cases are provided to verify the effectiveness of the deduced results.

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