New robust exponential stability analysis for uncertain neural networks with time-varying delay

被引：4

作者：

Chen Y.-G. ^{[1
]}

Bi W.-P. ^{[2
]}

机构：

[1] Department of Mathematics, Henan Institute of Science and Technology

[2] College of Mathematics and Information Science, Henan Normal University

来源：

Int. J. Autom. Comput. | 2008年 / 4卷 / 395-400期

关键词：

Linear matrix inequalities (LMIs); Lyapunov functional method; Robust exponential stability; Time-varying delay; Uncertain neural networks;

D O I：

10.1007/s11633-008-0395-2

中图分类号：

学科分类号：

摘要：

In this paper, the global robust exponential stability is considered for a class of neural networks with parametric uncertainties and time-varying delay. By using Lyapunov functional method, and by resorting to the new technique for estimating the upper bound of the derivative of the Lyapunov functional, some less conservative exponential stability criteria are derived in terms of linear matrix inequalities (LMIs). Numerical examples are presented to show the effectiveness of the proposed method. © 2008 Institute of Automation, Chinese Academy of Sciences and Springer-Verlag GmbH.

引用

页码：395 / 400

页数：5

共 21 条

[1]

Arik S., Global Asymptotic Stability of a Larger Class of Delayed Cellular Neural Networks with Constant Delay, Physics Letters A, 311, pp. 504-511, (2003)

[2]

Chen T., Rong L., Delay-independent Stability Analysis of Cohen-Grossberg Neural Networks, Physics Letters A, 317, pp. 436-449, (2003)

[3]

Singh V., Simplified LMI Condition for Global Asymptotic Stability of Delayed Neural Networks, Chaos, Solitons and Fractals, 29, pp. 470-473, (2006)

[4]

Singh V., A Novel Global Robust Stability Criterion for Delayed Neural Networks, Physics Letters A, 337, pp. 369-373, (2005)

[5]

Wang Z., Liu Y., Liu X., On Global Asymptotic Stability of Neural Networks with Discrete and Distributed Delays, Physics Letters A, 345, pp. 299-308, (2005)

[6]

He Y., Wang Q.G., Zheng W.X., Global Robust Stability for Delayed Neural Networks with Polytopic Type Uncertainties, Chaos, Solitons and Fractals, 26, pp. 1349-1354, (2005)

[7]

Park J.H., Cho H.J., A delay-dependent Asymptotic Stability Criterion of Cellular Neural Networks with Timevarying Discrete and Distributed Delays, Chaos, Solitons and Fractals, 33, pp. 436-442, (2007)

[8]

Xu S., Lam J., Ho D.W.C., Zou Y., Novel Global Asymptotic Stability Criteria for Delayed Cellular Neural Networks, IEEE Transactions on Circuits and Systems - II: Express Briefs, 52, pp. 349-353, (2005)

[9]

Cho H.J., Park J.H., Novel Delay-dependent Robust Stability Criterion of Delayed Cellular Neural Networks, Chaos, Solitons and Fractals, 32, pp. 1194-1200, (2007)

[10]

He Y., Wang Q.G., Wu M., LMI-based Stability Criteria for Neural Networks with Multiple Time-varying Delays, Physica D: Nonlinear Phenomena, 212, pp. 126-136, (2005)

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