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Abstract and Applied Analysis
Volume 2014, Article ID 303575, 9 pages
Research Article

New Results on Passivity Analysis for Uncertain Neural Networks with Time-Varying Delay

1School of Mathematics and Physics, Bohai University, Jinzhou, Liaoning 121013, China
2College of Engineering, Bohai University, Jinzhou, Liaoning 121013, China
3Department of Engineering of the Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway

Received 26 January 2014; Accepted 12 February 2014; Published 24 March 2014

Academic Editor: Ming Liu

Copyright © 2014 Xueying Shao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The paper investigates the stability and passivity analysis problems for a class of uncertain neural networks with time-delay via delta operator approach. Both the parameter uncertainty and the generalized activation functions are considered in this paper. By constructing an appropriate Lyapunov-Krasovskii functional, some new stability and passivity conditions are obtained in terms of linear matrix inequalities (LMIs). The main characteristic of this paper is to obtain novel stability and passivity analysis criteria for uncertain neural networks with time-delay in the delta operator system framework. A numerical example is presented to demonstrate the effectiveness of the proposed results.