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Remarks on estimating upper limit of norm of delayed connection weight matrix in the study of global robust stability of delayed neural networks

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  • Singh, Vimal

Abstract

The question of estimating the upper limit of the norm ∥B∥2 of the delayed connection weight matrix B, which is a key step in some recently reported global robust stability criteria for delayed neural networks (DNNs), is considered. An estimate of the upper limit of ∥B∥2 was previously given by Cao, Huang and Qu. More recently Singh has presented an alternative estimate. Presently it is shown that an estimate of the upper limit of ∥B∥2 may be found in some cases, which would be an improvement over each of the above-mentioned two estimates. Some observations concerning the determination of the least conservative upper limit of ∥B∥2 are presented.

Suggested Citation

  • Singh, Vimal, 2009. "Remarks on estimating upper limit of norm of delayed connection weight matrix in the study of global robust stability of delayed neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2013-2017.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:5:p:2013-2017
    DOI: 10.1016/j.chaos.2007.06.060
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