New results on passivity analysis of uncertain neural networks with time-varying delays

Authors:
Qiankun Song;Zidong Wang
Affiliations:
Department of Mathematics, Chongqing Jiaotong University, Chongqing, People's Republic of China;Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UK
Venue:
International Journal of Computer Mathematics
Year:
2010

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Abstract

In this paper, the passivity problem is investigated for a class of uncertain neural networks with generalized activation functions. By employing an appropriate Lyapunov-Krasovskii functional, a new delay-dependent criterion for the passivity of the addressed neural networks is established in terms of linear matrix inequalities (LMIs), which can be checked numerically using the effective LMI toolbox in MATLAB. An example is given to show the effectiveness and less conservatism of the proposed criterion. It is noteworthy that the traditional assumptions on the differentiability of the time-varying delays and the boundedness of its derivative are removed.