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Letters: New delay-dependent stability results for discrete-time recurrent neural networks with time-varying delay

Authors:

Guang-Hong YangAuthors Info & Claims

Neurocomputing, Volume 72, Issue 13-15

Pages 3376 - 3383

https://doi.org/10.1016/j.neucom.2009.03.006

Published: 01 August 2009 Publication History

Abstract

This paper studies the problem of stability analysis for discrete-time recurrent neural networks (DRNNs) with time-varying delays. By using the discrete Jensen inequality and the sector bound conditions, a new less conservative delay-dependent stability criterion is established in terms of linear matrix inequalities (LMIs) under a weak assumption on the activation functions. By using a delay decomposition method, a further improved stability criterion is also derived. It is shown that the newly obtained results are less conservative than the existing ones. Meanwhile, the computational complexity of the newly obtained stability conditions is reduced since less variables are involved. A numerical example is given to illustrate the effectiveness and the benefits of the proposed method.

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Cited By

Kchaou MAl Ahmadi SDraou E(2020)Integral Sliding-Mode Fault-Tolerant Control for Fuzzy Singular Systems with Actuator SaturationCircuits, Systems, and Signal Processing10.1007/s00034-019-01210-139:3(1307-1334)Online publication date: 1-Mar-2020
https://dl.acm.org/doi/10.1007/s00034-019-01210-1
Bao GZeng Z(2016)Global asymptotical stability analysis for a kind of discrete-time recurrent neural network with discontinuous activation functionsNeurocomputing10.1016/j.neucom.2016.02.017193:C(242-249)Online publication date: 12-Jun-2016
https://dl.acm.org/doi/10.1016/j.neucom.2016.02.017
Lee WLee SPark P(2015)Improved stability criteria for recurrent neural networks with interval time-varying delays via new Lyapunov functionalsNeurocomputing10.1016/j.neucom.2014.12.040155:C(128-134)Online publication date: 1-May-2015
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cover image Neurocomputing

Neurocomputing Volume 72, Issue 13-15

August, 2009

682 pages

ISSN:0925-2312

Issue’s Table of Contents

Copyright © Elsevier B.V. © 2009.

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Elsevier Science Publishers B. V.

Netherlands

Publication History

Published: 01 August 2009

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Cited By

Kchaou MAl Ahmadi SDraou E(2020)Integral Sliding-Mode Fault-Tolerant Control for Fuzzy Singular Systems with Actuator SaturationCircuits, Systems, and Signal Processing10.1007/s00034-019-01210-139:3(1307-1334)Online publication date: 1-Mar-2020
https://dl.acm.org/doi/10.1007/s00034-019-01210-1
Bao GZeng Z(2016)Global asymptotical stability analysis for a kind of discrete-time recurrent neural network with discontinuous activation functionsNeurocomputing10.1016/j.neucom.2016.02.017193:C(242-249)Online publication date: 12-Jun-2016
https://dl.acm.org/doi/10.1016/j.neucom.2016.02.017
Lee WLee SPark P(2015)Improved stability criteria for recurrent neural networks with interval time-varying delays via new Lyapunov functionalsNeurocomputing10.1016/j.neucom.2014.12.040155:C(128-134)Online publication date: 1-May-2015
https://dl.acm.org/doi/10.1016/j.neucom.2014.12.040
Xia JPark JZhang BShen H(2015)Robust ℋ∞ tracking control for uncertain Markovian jumping systems with interval time-varying delayComplexity10.1002/cplx.2161021:2(355-366)Online publication date: 1-Nov-2015
https://dl.acm.org/doi/10.1002/cplx.21610
Zheng CGong CWang Z(2013)New delay-dependent exponential stability for discrete-time recurrent neural networks with mixed time-delaysInternational Journal of Innovative Computing and Applications10.1504/IJICA.2013.0531735:2(65-75)Online publication date: 1-Apr-2013
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Li ZSu HGu YWu Z(2013)Exponential Stability Analysis for Discrete-Time Singular Systems with Randomly Occurring DelayCircuits, Systems, and Signal Processing10.1007/s00034-013-9561-z32:5(2231-2242)Online publication date: 1-Oct-2013
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Li BSong Q(2011)Invariant set and attractor of discrete-time impulsive recurrent neural networksProceedings of the 8th international conference on Advances in neural networks - Volume Part I10.5555/2009246.2009298(411-419)Online publication date: 29-May-2011
https://dl.acm.org/doi/10.5555/2009246.2009298
Wu ZShi PSu HChu J(2011)Delay-dependent exponential stability analysis for discrete-time switched neural networks with time-varying delayNeurocomputing10.1016/j.neucom.2011.01.01574:10(1626-1631)Online publication date: 1-May-2011
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Li BSong Q(2011)Invariant Set and Attractor of Discrete-Time Impulsive Recurrent Neural Networks8th International Symposium on Advances in Neural Networks --- ISNN 2011 - Volume 667510.1007/978-3-642-21105-8_48(411-419)Online publication date: 29-May-2011
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