Robust Stability of Nonlinear Diffusion Fuzzy Neural Networks with Parameter Uncertainties and Time Delays
Joint Authors
Zhong, Shouming
Tang, Gaozhi
Gong, Jiuqi
Wan, Xiaoyan
Wu, Guanghong
Zhang, Qiao
Rao, Ruofeng
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-16
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
In this paper, a class of nonlinear p-Laplace diffusion BAM Cohen-Grossberg neural networks (BAM CGNNs) with time delays is investigated.
In the case of p>1 with p≠2, the authors construct novel Lyapunov functional to overcome the mathematical difficulties of nonlinear p-Laplace diffusion time-delay model with parameter uncertainties, deriving the LMI-based robust stability criterion applicable to computer MATLAB LMI toolbox and deleting the boundedness of the amplification functions.
And in the case of p=2, LMI-based sufficient conditions are also inferred for robust input-to-state stability of reaction-diffusion Markovian jumping BAM CGNNs with the event-triggered control, which is different from those of many previous related literature.
In particular, the role of diffusion can be reflected in newly acquired criteria.
Finally, numerical examples verify the effectiveness of the proposed methods.
American Psychological Association (APA)
Rao, Ruofeng& Tang, Gaozhi& Gong, Jiuqi& Wan, Xiaoyan& Wu, Guanghong& Zhang, Qiao…[et al.]. 2018. Robust Stability of Nonlinear Diffusion Fuzzy Neural Networks with Parameter Uncertainties and Time Delays. Complexity،Vol. 2018, no. 2018, pp.1-19.
https://search.emarefa.net/detail/BIM-1135026
Modern Language Association (MLA)
Rao, Ruofeng…[et al.]. Robust Stability of Nonlinear Diffusion Fuzzy Neural Networks with Parameter Uncertainties and Time Delays. Complexity No. 2018 (2018), pp.1-19.
https://search.emarefa.net/detail/BIM-1135026
American Medical Association (AMA)
Rao, Ruofeng& Tang, Gaozhi& Gong, Jiuqi& Wan, Xiaoyan& Wu, Guanghong& Zhang, Qiao…[et al.]. Robust Stability of Nonlinear Diffusion Fuzzy Neural Networks with Parameter Uncertainties and Time Delays. Complexity. 2018. Vol. 2018, no. 2018, pp.1-19.
https://search.emarefa.net/detail/BIM-1135026
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1135026