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H ∞ stability conditions for delayed neural networks with external disturbances and norm-bounded uncertainties: Delay independent and dependent criteria

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Abstract

In this paper, we propose new delay independent and dependent H ∞ stability conditions for delayed neural networks with external disturbances and norm-bounded uncertainties. These conditions are presented to not only guarantee the asymptotical stability but also reduce the effect of external disturbance to an H ∞ norm constraint. The proposed conditions are represented by linear matrix inequalities (LMIs). Optimal H ∞ norm bounds are obtained easily by solving convex problems in terms of LMIs. The applicability of these conditions is illustrated by numerical examples.

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Authors and Affiliations

  1. Department of Automotive Engineering, Seoul National University of Science & Technology, Seoul, 139-743, Republic of Korea

    Choon Ki Ahn

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  1. Choon Ki Ahn
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Correspondence to Choon Ki Ahn.

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Ahn, C.K. H ∞ stability conditions for delayed neural networks with external disturbances and norm-bounded uncertainties: Delay independent and dependent criteria. Sci. China Inf. Sci. 54, 1691–1701 (2011). https://doi.org/10.1007/s11432-011-4282-z

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  • DOI: https://doi.org/10.1007/s11432-011-4282-z

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