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author:

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

Indexed by:

EI

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. © 2011 Elsevier B.V.

Keyword:

Brownian movement Convergence of numerical methods Linear matrix inequalities Numerical methods Recurrent neural networks Stability Stochastic models Stochastic systems Time delay Time varying control systems Time varying networks

Community:

  • [ 1 ] [Li, Yurong]College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350002, China
  • [ 2 ] [Li, Yurong]Fujian Key Laboratory of Medical Instrumentation, Pharmaceutical Technology, Fuzhou 350002, China
  • [ 3 ] [Zhu, Yanzheng]College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350002, China
  • [ 4 ] [Zhu, Yanzheng]Fujian Key Laboratory of Medical Instrumentation, Pharmaceutical Technology, Fuzhou 350002, China
  • [ 5 ] [Zeng, Nianyin]College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350002, China
  • [ 6 ] [Zeng, Nianyin]Fujian Key Laboratory of Medical Instrumentation, Pharmaceutical Technology, Fuzhou 350002, China
  • [ 7 ] [Du, Min]College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350002, China
  • [ 8 ] [Du, Min]Fujian Key Laboratory of Medical Instrumentation, Pharmaceutical Technology, Fuzhou 350002, 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

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 15

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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