کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10224192 | 1701081 | 2019 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Multistability analysis of delayed quaternion-valued neural networks with nonmonotonic piecewise nonlinear activation functions
ترجمه فارسی عنوان
تجزیه و تحلیل مولتی استابلایزر از شبکه های عصبی با ارزش کوارنیم با تأخیر با عملکرد غیر فعال
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
چکیده انگلیسی
This paper deals with the multistability problem of the quaternion-valued neural networks (QVNNs) with nonmonotonic piecewise nonlinear activation functions and unbounded time-varying delays. By virtue of the non-commutativity of quaternion multiplication resulting from Hamilton rules, the QVNNs can be separated into four real-valued systems. By using the fixed point theorem and other analytical tools, some novel algebraic criteria are established to guarantee that the QVNNs can have 54n equilibrium points, 34n of which are locally μ-stable. Some criteria that guarantee the multiple exponential stability, multiple power stability, multiple log-stability, multiple log-log-stability are also derived as special cases. The obtained results reveal that the introduced QVNNs in this paper can have larger storage capacity than the complex-valued ones. Finally, one numerical example is presented to clarify the validity of the theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 341, 15 January 2019, Pages 229-255
Journal: Applied Mathematics and Computation - Volume 341, 15 January 2019, Pages 229-255
نویسندگان
Manchun Tan, Yunfeng Liu, Desheng Xu,