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Mean square stability of uncertain stochastic BAM neural networks with interval time-varying delays

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Abstract

The robust asymptotic stability analysis for uncertain BAM neural networks with both interval time-varying delays and stochastic disturbances is considered. By using the stochastic analysis approach, employing some free-weighting matrices and introducing an appropriate type of Lyapunov functional which takes into account the ranges for delays, some new stability criteria are established to guarantee the delayed BAM neural networks to be robustly asymptotically stable in the mean square. Unlike the most existing mean square stability conditions for BAM neural networks, the supplementary requirements that the time derivatives of time-varying delays must be smaller than 1 are released and the lower bounds of time varying delays are not restricted to be 0. Furthermore, in the proposed scheme, the stability conditions are delay-range-dependent and rate-dependent/independent. As a result, the new criteria are applicable to both fast and slow time-varying delays. Three numerical examples are given to illustrate the effectiveness of the proposed criteria.

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Acknowledgments

This work are supported by National Natural Science Foundation of China (No. 60973114, 60974020, 60903213), and the Nature Science Foundation of Chongqing (CSTC, 2007BB2386, 2008BB2189, 2009BB2378, CSTC, 2009BA2024).

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Authors and Affiliations

  1. College of Computer Science, Chongqing University, Chongqing, 400030, People’s Republic of China

    Haixia Wu, Xiaofeng Liao & Songtao Guo

  2. Department of Computer Science, Chongqing Education College, Chongqing, 400067, People’s Republic of China

    Haixia Wu & Wei Feng

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  1. Haixia Wu
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  2. Xiaofeng Liao
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  3. Wei Feng
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  4. Songtao Guo
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Correspondence to Haixia Wu.

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Wu, H., Liao, X., Feng, W. et al. Mean square stability of uncertain stochastic BAM neural networks with interval time-varying delays. Cogn Neurodyn 6, 443–458 (2012). https://doi.org/10.1007/s11571-012-9200-6

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  • DOI: https://doi.org/10.1007/s11571-012-9200-6

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