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Improved robust stability criteria for bidirectional associative memory neural networks under parameter uncertainties

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Abstract

This paper deals with the global robust stability problem of dynamical bidirectional associative memory neural networks with multiple time delays under parameter uncertainties. Using some new upper bound norms for the interconnection matrices of the neural networks and constructing suitable Lyapunov functional, we derive novel conditions for the global robust asymptotic stability of equilibrium point. The obtained results can be easily verified as they can be expressed in terms of the network parameters only. It is shown that the established stability condition generalizes some existing ones, and it can be considered to an alternative result to some other corresponding results derived in previous literature. We also provide two comparative numerical examples to illustrate the advantages of our result over the previously published corresponding robust stability results.

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Acknowledgment

This work is supported by National Natural Science Foundation of China (No. 61103211), and Postdoctoral Science Foundation of Chongqing (No. XM201310). The authors would like to thank the editor and the anonymous reviewers for their valuable suggestions and comments, which led to a much improved paper.

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Authors and Affiliations

  1. College of Automation, Chongqing University, Chongqing, 400030, China

    Wei Feng, Simon X. Yang & Haixia Wu

  2. School of Engineering, University of Guelph, Guelph, ON, N1G 2W1, Canada

    Simon X. Yang

  3. Department of Mathematics and Information Engineering, Chongqing University of Education, Chongqing, 400065, China

    Wei Feng & Haixia Wu

Authors
  1. Wei Feng
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  2. Simon X. Yang
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  3. Haixia Wu
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Correspondence to Wei Feng.

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Feng, W., Yang, S.X. & Wu, H. Improved robust stability criteria for bidirectional associative memory neural networks under parameter uncertainties. Neural Comput & Applic 25, 1205–1214 (2014). https://doi.org/10.1007/s00521-014-1600-6

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  • DOI: https://doi.org/10.1007/s00521-014-1600-6

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