Title
New results on passivity analysis of memristive neural networks with time-varying delays and reaction-diffusion term.
Abstract
In this paper, we put in effort to inspect the passivity and exponential passivity problem of memristive neural networks with time-varying delays and reaction-diffusion term. Based on the basis of generalized Lyapunov approach, Poincare inequality, Schur complement Lemma, free-weighting matrix approach as well as some inequality techniques, the main conclusions of this paper are derived in the form of linear matrix inequality (LMI). What is noteworthy is that the obtained sufficient criteria rely on the reaction-diffusion term, which implies that the reaction-diffusion term can effect the passivity of the given system. Finally, two numerical examples are emerged to check the practicability of the derived passivity conditions. (C) 2017 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2018
10.1016/j.neucom.2017.10.035
NEUROCOMPUTING
Keywords
Field
DocType
Memristor,Passivity Reaction-diffusion term,Poincare inequality,Linear matrix inequality (LMI)
Passivity,Exponential function,Control theory,Matrix (mathematics),Artificial neural network,Reaction–diffusion system,Mathematics,Schur complement,Lemma (mathematics),Linear matrix inequality
Journal
Volume
ISSN
Citations 
275
0925-2312
3
PageRank 
References 
Authors
0.37
24
4
Name
Order
Citations
PageRank
Hongzhi Wei1804.73
Chunrong Chen2554.14
Zhengwen Tu322012.78
Ning Li414548.40