Stability Analyses of Neural Networks with Unbounded Time-Varying Delays and Nonlinear Perturbations

Li Zi Yin

doi:10.4028/www.scientific.net/AMM.278-280.1247

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 278-280Stability Analyses of Neural Networks with...

Stability Analyses of Neural Networks with Unbounded Time-Varying Delays and Nonlinear Perturbations

Abstract:

In this paper, we consider the problem of mu-stability of unbounded time-varying delays neural systems with nonlinear perturbations. Some mu-stability criterias are derived by using Lyapunov- Krasovski functional method . Those criteria are expressed in the form of linear matrix inequalities (LMIs).

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Periodical:

Applied Mechanics and Materials (Volumes 278-280)

Pages:

1247-1250

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.278-280.1247

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Online since:

January 2013

Authors:

Li Zi Yin

Keywords:

Neural Network (NN), Nonlinear Perturbation, Unbounded Time-Varying Delays, μ-Stability

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References

[1] J. Hale, S. Verduyn Lunel, Introduction to Functional Differential Equations (Applied Mathematical Sciences), Springer-Verlag, New York, (1993).

Google Scholar

[2] T. Chen, L. Wang, Global mu-stability of delayed neural networks with unbounded timevarying delays, IEEE Trans. Neural Netw 18 (2007) 705-709.

DOI: 10.1109/tnn.2007.902716

Google Scholar

[3] X. Liao, G. Chen, E. Sanchez, LMI-based approach for asymptotically stability analysis of delayed neural networks, IEEE Trans. on Circuits and System -I 49 (2002)1033-1039.

DOI: 10.1109/tcsi.2002.800842

Google Scholar

[4] R. Rakkiyappan, P. Balasubramaniam, S. Lakshmanan, Robust stability results for uncertain stochastic neural networks with discrete interval and distributed time-varying delays, Physics Lett. A 372 (2008) 5290-5298.

DOI: 10.1016/j.physleta.2008.06.011

Google Scholar

[5] S. Boyd, LE Ghaoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, (1994).

DOI: 10.1137/1.9781611970777

Google Scholar