Exponential Stability for Discrete-Time Stochastic BAM Neural Networks with Discrete and Distributed Delays

Joint Authors

Raja, Ramachandran
Sakthivel, R.
Marshal Anthoni, S.

Source

ISRN Discrete Mathematics

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-23, 23 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-01-16

Country of Publication

Egypt

No. of Pages

23

Main Subjects

Mathematics

Abstract EN

This paper deals with the stability analysis problem for a class of discrete-time stochastic BAM neural networks with discrete and distributed time-varying delays.

By constructing a suitable Lyapunov-Krasovskii functional and employing M-matrix theory, we find some sufficient conditions ensuring the global exponential stability of the equilibrium point for stochastic BAM neural networks with time-varying delays.

The conditions obtained here are expressed in terms of LMIs whose feasibility can be easily checked by MATLAB LMI Control toolbox.

A numerical example is presented to show the effectiveness of the derived LMI-based stability conditions.

American Psychological Association (APA)

Raja, Ramachandran& Sakthivel, R.& Marshal Anthoni, S.. 2012. Exponential Stability for Discrete-Time Stochastic BAM Neural Networks with Discrete and Distributed Delays. ISRN Discrete Mathematics،Vol. 2011, no. 2011, pp.1-23.
https://search.emarefa.net/detail/BIM-450051

Modern Language Association (MLA)

Raja, Ramachandran…[et al.]. Exponential Stability for Discrete-Time Stochastic BAM Neural Networks with Discrete and Distributed Delays. ISRN Discrete Mathematics No. 2011 (2011), pp.1-23.
https://search.emarefa.net/detail/BIM-450051

American Medical Association (AMA)

Raja, Ramachandran& Sakthivel, R.& Marshal Anthoni, S.. Exponential Stability for Discrete-Time Stochastic BAM Neural Networks with Discrete and Distributed Delays. ISRN Discrete Mathematics. 2012. Vol. 2011, no. 2011, pp.1-23.
https://search.emarefa.net/detail/BIM-450051

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-450051