Evidence map›Paper›PMID 27668022›Full record

ArticleCognitive neurodynamics2016

Stability and synchronization analysis of inertial memristive neural networks with time delays.

R Rakkiyappan, S Premalatha, A Chandrasekar, Jinde Cao

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Article in Cognitive neurodynamics, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.

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3citing papers in PubMed
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1 · What the graph read from it

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3 · Its place in the literature

Who cites it

3 citing papers in PubMed.

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4 · The record

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5 · Who and what money

Authors and funding

4 authors.

R RakkiyappanDepartment of Mathematics, Bharathiar University, Coimbatore, Tamil Nadu 641 046 India.
S PremalathaDepartment of Mathematics, Bharathiar University, Coimbatore, Tamil Nadu 641 046 India.
A ChandrasekarDepartment of Mathematics, Bharathiar University, Coimbatore, Tamil Nadu 641 046 India.
Jinde CaoDepartment of Mathematics, Southeast University, Nanjing, 210096 China ; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589 Saudi Arabia.ORCID 0000-0003-3133-7119

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

This paper is concerned with the problem of stability and pinning synchronization of a class of inertial memristive neural networks with time delay. In contrast to general inertial neural networks, inertial memristive neural networks is applied to exhibit the synchronization and stability behaviors due to the physical properties of memristors and the differential inclusion theory. By choosing an appropriate variable transmission, the original system can be transformed into first order differential equations. Then, several sufficient conditions for the stability of inertial memristive neural networks by using matrix measure and Halanay inequality are derived. These obtained criteria are capable of reducing computational burden in the theoretical part. In addition, the evaluation is done on pinning synchronization for an array of linearly coupled inertial memristive neural networks, to derive the condition using matrix measure strategy. Finally, the two numerical simulations are presented to show the effectiveness of acquired theoretical results.

Indexed as

Halanay inequalityInertial memristive neural networksMatrix measurePinning controlSynchronization

Identifiers

PMID27668022
PMCPMC5018013

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.