Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 370, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cam.2019.112633
Keywords
Fractional discrete-time systems; Variable-order modeling; Recurrent neural networks; Short memory
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Funding
- Sichuan Science and Technology Support Program, China [2017JY0199, 2018JY0120]
- Sichuan Province Youth Science and Technology Innovation Team, China [2019JDTD0015]
- National Research Foundation of Korea [22A20130000136] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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Discrete fractional calculus is suggested to describe neural networks with memory effects. Fractional discrete-time recurrent neural network is proposed on an isolated time scale. Stability results are investigated via Banach fixed point technique. The attractive solution space is constructed and stability conditions are provided. Furthermore, short memory and variable-order fractional neural networks are given according to the stability conditions. Two and three dimensional numerical examples are used to demonstrate the theoretical results. (C) 2019 Elsevier B.V. All rights reserved.
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