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Passivity of uncertain neural networks with both leakage delay and time-varying delay

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Abstract

In this paper, the passivity problem is investigated for a class of uncertain neural networks with leakage delay and time-varying delay as well as generalized activation functions. By constructing appropriate Lyapunov–Krasovskii functionals, and employing Newton–Leibniz formulation and the free-weighting matrix method, several delay-dependent criteria for checking the passivity of the addressed neural networks are established in linear matrix inequality (LMI), which can be checked numerically using the effective LMI toolbox in MATLAB. Two examples with simulations are given to show the effectiveness and less conservatism of the proposed criteria.

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Authors and Affiliations

  1. Department of Mathematics, Chongqing Jiaotong University, Chongqing, 400074, P.R. China

    Qiankun Song

  2. Department of Mathematics, Southeast University, Nanjing, 210096, P.R. China

    Jinde Cao

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  1. Qiankun Song
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  2. Jinde Cao
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Correspondence to Jinde Cao.

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Song, Q., Cao, J. Passivity of uncertain neural networks with both leakage delay and time-varying delay. Nonlinear Dyn 67, 1695–1707 (2012). https://doi.org/10.1007/s11071-011-0097-0

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  • DOI: https://doi.org/10.1007/s11071-011-0097-0

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