Improved Criteria on Delay-Dependent Stability for Discrete-Time Neural Networks with Interval Time-Varying Delays

Joint Authors

Park, M. J.
Kwon, O. M.
Park, Juhyun
Lee, S. M.
Cha, E. J.

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-11-05

Country of Publication

Egypt

No. of Pages

16

Main Subjects

Mathematics

Abstract EN

The purpose of this paper is to investigate the delay-dependent stability analysis for discrete-time neural networks with interval time-varying delays.

Based on Lyapunov method, improved delay-dependent criteria for the stability of the networks are derived in terms of linear matrix inequalities (LMIs) by constructing a suitable Lyapunov-Krasovskii functional and utilizing reciprocally convex approach.

Also, a new activation condition which has not been considered in the literature is proposed and utilized for derivation of stability criteria.

Two numerical examples are given to illustrate the effectiveness of the proposed method.

American Psychological Association (APA)

Kwon, O. M.& Park, M. J.& Park, Juhyun& Lee, S. M.& Cha, E. J.. 2012. Improved Criteria on Delay-Dependent Stability for Discrete-Time Neural Networks with Interval Time-Varying Delays. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-460422

Modern Language Association (MLA)

Kwon, O. M.…[et al.]. Improved Criteria on Delay-Dependent Stability for Discrete-Time Neural Networks with Interval Time-Varying Delays. Abstract and Applied Analysis No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-460422

American Medical Association (AMA)

Kwon, O. M.& Park, M. J.& Park, Juhyun& Lee, S. M.& Cha, E. J.. Improved Criteria on Delay-Dependent Stability for Discrete-Time Neural Networks with Interval Time-Varying Delays. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-460422

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-460422