Improved Stability Analysis for Neural Networks with Interval Time-Varying Delays

Ze Rong Ren; Jun Kang Tian

doi:10.4028/www.scientific.net/AMM.687-691.2078

Paper Titles

Research on Network Literature Recommendation Technology Based on Literature Tag
p.2059

Research and Application on Recommendation Trust Model in Distributed Network System
p.2063

Application Research about Page Layout Technology Based on DIV+CSS
p.2067

Design and Realization of ECP Dynamic Navigation Based on .NET
p.2073

Improved Stability Analysis for Neural Networks with Interval Time-Varying Delays
p.2078

Study on Thermal Power Plant Safety Evaluation Based on BP Neural Network
p.2083

Comparison Analysis and Strategies on the Regional Internet Industry Development in China
p.2087

Improving Domain Name Service Availability via Cache Optimization Methods
p.2092

A Read-Write Optimization Scheme for Flash Memory Storage Systems
p.2096

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 687-691Improved Stability Analysis for Neural Networks...

Improved Stability Analysis for Neural Networks with Interval Time-Varying Delays

Abstract:

In this paper, the problem of delay-dependent asymptotic stability analysis for neural networks with interval time-varying delays is considered. By the use of delay-partitioning method and some novel techniques, some less conservative stability criteria are established in terms of linear matrix inequalities. Moreover, our criteria depend on both the upper and lower bounds of time-varying delay and its derivative, which is different from some existing ones. Finally, an numerical example is given to show the improved stability region of the proposed results.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 687-691)

Pages:

2078-2082

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.687-691.2078

Citation:

Cite this paper

Online since:

November 2014

Authors:

Ze Rong Ren*, Jun Kang Tian

Keywords:

Delay-Dependent Stability, Interval Time-Varying Delays, Linear Matrix Inequality (LMI), Neural Network

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] Y. He, G. Liu, and D. Rees. New delay-dependent stability criteria for neural networks with time-varying delay [J]. IEEE Transactions on Neural Networks, 2007: 18(1): 310-314.

DOI: 10.1109/tnn.2006.888373

Google Scholar

[2] T. Li and X. L. Ye. Improved stability criteria of neural networks with time-varying delays: An augmented LKF approach [J]. Neurocomputing, 2010: 73(4-6): 1038-1047.

DOI: 10.1016/j.neucom.2009.10.001

Google Scholar

[3] H. Zhang, Z. Liu, G. Huang, and Z. Wang. Novel weighting-delaybased stability criteria for recurrent neural networks with time-varying delay [J]. IEEE Transactions on Neural Networks, 2010: 21(1): 91-106.

DOI: 10.1109/tnn.2009.2034742

Google Scholar

[4] L. Hu, H. Gao, W. X. Zheng. Novel stability of cellular neural networks with interval time-varying delay[J]. Neural Networks, 2008: 21: 1458-1463.

DOI: 10.1016/j.neunet.2008.09.002

Google Scholar

[5] T. Li, A. Song, M. Xue, H. Zhang. Stability analysis on delayed neural networks based on an improved delay-partitioning approach[J]. Journal of Computational and Applied Mathematics, 2011: 235: 3086-3095.

DOI: 10.1016/j.cam.2010.10.002

Google Scholar

[6] O. M. Kwon, S. M. Lee, J. H. Park, E. J. Cha, New approaches on stability criteria for neural networks with interval time-varying delays[J]. Applied Mathematics and Computation, 2012: 218: 9953-9964.

DOI: 10.1016/j.amc.2012.03.082

Google Scholar