Delay-Dependent Asymptotical Stabilization Criterion of Recurrent Neural Networks

Grienggrai Rajchakit

doi:10.4028/www.scientific.net/AMM.330.1045

Paper Titles

Research and Application of Filtering Algorithm in Internet of Things
p.1028

Design of the Steiner Minimal Tree
p.1032

An Efficient Broadcasting TDPA Protocol for Ad Hoc Networks with Directional Antenna
p.1036

Agriculture Supply Chain Visibility Management Based on the Internet of Things
p.1041

Delay-Dependent Asymptotical Stabilization Criterion of Recurrent Neural Networks
p.1045

Universal Wireless System for Advanced Biomedical Applications
p.1049

Markov Process Modeling for Wireless Sensor Network Availability with QOS Constraints
p.1054

Optimization Model for Fire Station Location Based on GIS and Python: A Case Study in North Cyprus
p.1059

The Tectonic and Uplift History of the Kuruketage Area in the North-East Edge of the Tarim Basin, China: Constraints from Detrital Zircon and Apatite Fission Track Data
p.1067

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 330Delay-Dependent Asymptotical Stabilization...

Delay-Dependent Asymptotical Stabilization Criterion of Recurrent Neural Networks

Abstract:

This paper deals with the problem of delay-dependent stability criterion of discrete-time recurrent neural networks with time-varying delays. Based on quadratic Lyapunov functional approach and free-weighting matrix approach, some linear matrix inequality criteria are found to guarantee delay-dependent asymptotical stability of these systems. And one example illustrates the exactness of the proposed criteria.

You might also be interested in these eBooks

Materials Engineering and Automatic Control II

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volume 330)

Pages:

1045-1048

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.330.1045

Citation:

Cite this paper

Online since:

June 2013

Authors:

Grienggrai Rajchakit

Keywords:

Neural Network (NN), Quadratic Lyapunov Functional Approach, Stability, Time-Varying Delay

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] R.A. Chayjan and Y. Moazez, Estimation of paddy equilibrium moisture sorption using ANNs. J. Applied Sci., Vol. 8 (2008), pp.346-351.

DOI: 10.3923/jas.2008.346.351

Google Scholar

[2] B. Chen and J.Wang, Global exponential periodicity of a class of recurrent neural networks with oscillating parameters and time-varying delays ,IEEE Trans. on Neural Networks, Vol. 16 (2005), pp.1440-1449.

DOI: 10.1109/tnn.2005.857953

Google Scholar

[3] E.M. Elabbasy and M.M. El-Dessoky, Adaptive coupled synchronization of coupled chaotic dynamical systems. Trends Applied Sci. Res., Vol. 2 (2007), pp.88-102.

DOI: 10.3923/tasr.2007.88.102

Google Scholar

[3] H. Huang, G. Feng and J. D. Cao, Robust state estimation for uncertain neural networks with time-varying delay, IEEE Trans. on Neural networks, Vol. 19 (2008), pp.1329-1339.

DOI: 10.1109/tnn.2008.2000206

Google Scholar

[4] J. Li, Y. F. Diao, Y. Zhang, J. L. Mao and X. Yin, Stability analysis of discrete Hopfield neural networks with weight function matrix, Lecture Notes on Computer Science, Vol. 5370 (2008), pp.760-768.

DOI: 10.1007/978-3-540-92137-0_83

Google Scholar

[5] J. Li,Y. F. Diao, M. D. Li and X. Yin, Stability analysis of Discrete Hopfield Neural Networks with the nonnegative definite monotone increasing weight function matrix, Discrete Dynamics in Nature and Society, Vol. 2009 (2009), Article ID 673548, 10 pages.

DOI: 10.1155/2009/673548

Google Scholar

[6] J. Li, W. G. Wu, J. M. Yuan, Q. R. Tan and X. Yin, Delay-dependent stability criterion of arbitrary switched linear systems with time-varying delay, Discrete Dynamics in Nature and Society, Vol. 2010 (2010), Article ID 347129, 16 pages.

DOI: 10.1155/2010/347129

Google Scholar

[7] J. L. Liang, Z. D. Wang, Y.R. Liu and X. H. Liu, Robust Synchronization of an Array of Coupled Stochastic Discrete-Time Delayed Neural Networks, IEEE Trans. on Neural networks, Vol. 19 (2008), pp.1910-1921.

DOI: 10.1109/tnn.2008.2003250

Google Scholar

[8] Y. R. Liu, Z. D. Wang and X. H. Liu, Asymptotic stability for neural networks with mixed time-delays: the discrete-time case, Neural Networks, Vol. 22 (2009), pp.67-74.

DOI: 10.1016/j.neunet.2008.10.001

Google Scholar

[9] X. Y. Lou and B. T. Cui, Delay-Dependent Criteria for Global Robust Periodicity of Uncertain Switched Recurrent Neural Networks With Time-Varying Delay, IEEE Trans. on Neural networks, Vol. 19 (2008), pp.549-557.

DOI: 10.1109/tnn.2007.910734

Google Scholar

[10] C. Y. Lu, H. H. Tsai, T. J. Su, J. Tsai and C. W. Liao, A delay-dependent approach to passivity analysis for uncertain neural networks with time-varying delay, Neural Process Lett, Vol. 27 (2008), pp.237-246.

DOI: 10.1007/s11063-008-9072-2

Google Scholar