Title
Passivity and passification of memristive recurrent neural networks with multi-proportional delays and impulse.
Abstract
The research direction of this paper is passivity and passification of memristive recurrent neural networks (MRNNs) with multi-proportional delays and impulse. Preparing for passive analysis, the model of MRNNs is transformed into the general recurrent neural networks (RNNs) model through the way of non-smooth analysis. Utilizing the proper Lyapunov–Krasovskii functions constructed in this paper and the common matrix inequalities technique, a novel condition is derived which is sufficient to make sure that system is passive. In addition, it relaxes the condition that the symmetric matrices are all required to be positive definite. The final results are presented by linear matrix inequalities (LMIs) and its verification is easy to be carried out by the LMI toolbox. And there are several numerical examples showing the effectiveness and correctness of the derived criteria.
Year
DOI
Venue
2020
10.1016/j.amc.2019.124838
Applied Mathematics and Computation
Keywords
Field
DocType
Memristive recurrent neural network,Passivity,Passification,Multi-proportional delay,Impulse
Passivity,Mathematical optimization,Control theory,Matrix (mathematics),Positive-definite matrix,Correctness,Recurrent neural network,Impulse (physics),Symmetric matrix,Mathematics
Journal
Volume
ISSN
Citations 
369
0096-3003
1
PageRank 
References 
Authors
0.35
0
4
Name
Order
Citations
PageRank
Yuxiao Wang130.71
yuting cao2489.75
Zhenyuan Guo345821.06
Shiping Wen4123172.34