Exponential Stability for Stochastic Neural Networks with Time-Varying Delay and Leakage Delay

Article Preview

Abstract:

This paper investigates the exponential stability problem for a class of stochastic neural networks with leakage delay. By employing a suitable Lyapunov functional and stochastic stability theory technic, the sufficient conditions which make the stochastic neural networks system exponential mean square stable are proposed and proved. All results are expressed in terms of linear matrix inequalities (LMIs). Example and simulation are presented to show the effectiveness of the proposed method.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

399-403

Citation:

Online since:

March 2015

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2015 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] S. Arik, Global asymptotic stability of a larger class of neural networks with constant time delay, Physics Letters, Section A, vol. 311, no. 6, p.504, (2003).

DOI: 10.1016/s0375-9601(03)00569-3

Google Scholar

[2] L. Hu, H. Gao and P. Shi, New stability criteria for Cohen-Grossberg neural networks with time delays, IET Control Theory and Applications, vol. 3, no. 9, p.1275, (2009).

DOI: 10.1049/iet-cta.2008.0213

Google Scholar

[3] K. Gopalsamy, Leakage delays in BAM, Journal Mathamatec Analysis and Application, vol. 325, no. 2, p.1117, (2007).

Google Scholar

[4] X. Li, X. Fu, P. Balasubramaniam and R. Rakkiyappan, Existence, uniquenessand stability analysis of recurrent neural net-works with time delay in the leakage term under impulsive perturbations, Nonlinear Analysis: Real World Application, vol. 11, no. 2, p.4092, (2010).

DOI: 10.1016/j.nonrwa.2010.03.014

Google Scholar

[5] X. Li, J. Cao, ``Delay-dependent stability of neural networks of neutral-type with time delay in the leakage term, " Nonlinearity, vol. 23, no. 3, pp.1709-1726, (2010).

DOI: 10.1088/0951-7715/23/7/010

Google Scholar

[6] P. Balasubramaniam, V. Vembarasan and R. Rakkiyappan, Leakage Delays in T-S Fuzzy Cellular Neural Networks, Neural Process Letter, vol. 33, no. 5, p.111, (2011).

DOI: 10.1007/s11063-010-9168-3

Google Scholar

[7] J. Hu, S. Zhong, and L. Liang, `` Exponential stability analysis of stochastic delayed cellular neural network, " Chaos Solitons Fractals, vol. 27, no. 4, p . 1006, (2006).

DOI: 10.1016/j.chaos.2005.04.067

Google Scholar

[8] H. Wu, J. Wang and P. Shi, A delay decomposition approach to filter design for stochastic systems with time-varying delay, Automatica, vol. 47, no. 5, p . 1482, (2011).

Google Scholar