Simplified stability criteria for fuzzy Markovian jumping Hopfield neural networks of neutral type with interval time-varying delays

M. J. Park; O. M. Kwon; Ju H. Park; S. M. Lee

doi:10.1016/j.eswa.2011.11.055

Simplified stability criteria for fuzzy Markovian jumping Hopfield neural networks of neutral type with interval time-varying delays

M. J. Park, O. M. Kwon, Ju H. Park, S. M. Lee

School of Electronics Engineering

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

This paper proposes delay-dependent stability conditions of fuzzy Markovian jumping Hopfield neural networks of neutral type with interval time-varying delays. By constructing a suitable Lyapunov-Krasovskii's functional and utilizing Finsler's lemma with no free weighting matrices, new delay-dependent stability criteria for the networks are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. Numerical examples is given to illustrate the effectiveness of the proposed methods.

Original language	English
Pages (from-to)	5625-5633
Number of pages	9
Journal	Expert Systems with Applications
Volume	39
Issue number	5
DOIs	https://doi.org/10.1016/j.eswa.2011.11.055
State	Published - Apr 2012

Keywords

Fuzzy systems
Hopfield neural networks
Lyapunov method
Markovian jumping parameters
Neutral systems

Access to Document

10.1016/j.eswa.2011.11.055

Cite this

@article{5854d4d6489e4774a07279a7f1d91bac,

title = "Simplified stability criteria for fuzzy Markovian jumping Hopfield neural networks of neutral type with interval time-varying delays",

abstract = "This paper proposes delay-dependent stability conditions of fuzzy Markovian jumping Hopfield neural networks of neutral type with interval time-varying delays. By constructing a suitable Lyapunov-Krasovskii's functional and utilizing Finsler's lemma with no free weighting matrices, new delay-dependent stability criteria for the networks are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. Numerical examples is given to illustrate the effectiveness of the proposed methods.",

keywords = "Fuzzy systems, Hopfield neural networks, Lyapunov method, Markovian jumping parameters, Neutral systems",

author = "Park, {M. J.} and Kwon, {O. M.} and Park, {Ju H.} and Lee, {S. M.}",

year = "2012",

month = apr,

doi = "10.1016/j.eswa.2011.11.055",

language = "English",

volume = "39",

pages = "5625--5633",

journal = "Expert Systems with Applications",

issn = "0957-4174",

publisher = "Elsevier Ltd.",

number = "5",

}

TY - JOUR

T1 - Simplified stability criteria for fuzzy Markovian jumping Hopfield neural networks of neutral type with interval time-varying delays

AU - Park, M. J.

AU - Kwon, O. M.

AU - Park, Ju H.

AU - Lee, S. M.

PY - 2012/4

Y1 - 2012/4

N2 - This paper proposes delay-dependent stability conditions of fuzzy Markovian jumping Hopfield neural networks of neutral type with interval time-varying delays. By constructing a suitable Lyapunov-Krasovskii's functional and utilizing Finsler's lemma with no free weighting matrices, new delay-dependent stability criteria for the networks are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. Numerical examples is given to illustrate the effectiveness of the proposed methods.

AB - This paper proposes delay-dependent stability conditions of fuzzy Markovian jumping Hopfield neural networks of neutral type with interval time-varying delays. By constructing a suitable Lyapunov-Krasovskii's functional and utilizing Finsler's lemma with no free weighting matrices, new delay-dependent stability criteria for the networks are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. Numerical examples is given to illustrate the effectiveness of the proposed methods.

KW - Fuzzy systems

KW - Hopfield neural networks

KW - Lyapunov method

KW - Markovian jumping parameters

KW - Neutral systems

UR - http://www.scopus.com/inward/record.url?scp=84855895634&partnerID=8YFLogxK

U2 - 10.1016/j.eswa.2011.11.055

DO - 10.1016/j.eswa.2011.11.055

M3 - Article

AN - SCOPUS:84855895634

SN - 0957-4174

VL - 39

SP - 5625

EP - 5633

JO - Expert Systems with Applications

JF - Expert Systems with Applications

IS - 5

ER -

Simplified stability criteria for fuzzy Markovian jumping Hopfield neural networks of neutral type with interval time-varying delays

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this