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author:

Li, Yurong (Li, Yurong.) [1] (Scholars:李玉榕) | Zhu, Yanzheng (Zhu, Yanzheng.) [2] | Zeng, Nianyin (Zeng, Nianyin.) [3] | Du, Min (Du, Min.) [4]

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, the stability analysis problem is investigated for a standard class of genetic regulatory networks (GRNs) with stochastic disturbances and time-varying delays. The standard GRNs under consideration are based on the model of the recurrent neural networks, the stochastic perturbation is in the form of a scalar Brownian motion, and the time-varying delays exist in the transcription and translation processes. Specifically, we are interested in (1) establishing a standard model for the time-varying delayed GRNs and (2) establishing conditions under which the standard GRNs are exponentially mean-square stable in the presence of time delays and stochastic disturbances. By using the linear matrix inequality (LMI) technique and S-procedure, sufficient conditions are first derived for ensuring globally asymptotic and exponential stability that can be easily solved by using standard software packages. Two numerical examples are exploited to demonstrate the effectiveness of the proposed method. (C) 2011 Elsevier B.V. All rights reserved.

Keyword:

Recurrent neural networks Stability Standard genetic regulatory networks Stochastic perturbation Time-varying delays

Community:

  • [ 1 ] [Li, Yurong]Fuzhou Univ, Coll Elect Engn & Automat, Fuzhou 350002, Peoples R China
  • [ 2 ] [Zhu, Yanzheng]Fuzhou Univ, Coll Elect Engn & Automat, Fuzhou 350002, Peoples R China
  • [ 3 ] [Zeng, Nianyin]Fuzhou Univ, Coll Elect Engn & Automat, Fuzhou 350002, Peoples R China
  • [ 4 ] [Du, Min]Fuzhou Univ, Coll Elect Engn & Automat, Fuzhou 350002, Peoples R China
  • [ 5 ] [Li, Yurong]Fujian Key Lab Med Instrumentat & Pharmaceut Tech, Fuzhou 350002, Peoples R China
  • [ 6 ] [Zhu, Yanzheng]Fujian Key Lab Med Instrumentat & Pharmaceut Tech, Fuzhou 350002, Peoples R China
  • [ 7 ] [Zeng, Nianyin]Fujian Key Lab Med Instrumentat & Pharmaceut Tech, Fuzhou 350002, Peoples R China
  • [ 8 ] [Du, Min]Fujian Key Lab Med Instrumentat & Pharmaceut Tech, Fuzhou 350002, Peoples R China

Reprint 's Address:

  • 李玉榕

    [Li, Yurong]Fuzhou Univ, Coll Elect Engn & Automat, Fuzhou 350002, Peoples R China

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Source :

NEUROCOMPUTING

ISSN: 0925-2312

Year: 2011

Issue: 17

Volume: 74

Page: 3235-3241

1 . 5 8

JCR@2011

5 . 5 0 0

JCR@2023

ESI Discipline: COMPUTER SCIENCE;

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 14

SCOPUS Cited Count: 15

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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