Less Conservative Stability Criteria for Neutral Type Neural Networks with Mixed Time-Varying Delays
Joint Authors
Liang, Li
Zhang, Yuping
Zhu, Hong
Shi, Kaibo
Zeng, Yong
Zhong, Shouming
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-24
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This paper investigates the problem of dependent stability criteria for neutral type neural networks with mixed time-varying delays.
Firstly, some new delay-dependent stability results are obtained by employing the more general partitioning approach and generalizing the famous Jensen inequality.
Secondly, based on a new type of Lyapunov-Krasovskii functional with the cross terms of variables, less conservative stability criteria are proposed in terms of linear matrix inequalities (LMIs).
Furthermore, it is the first time that the idea of second-order convex combination and the property of quadratic convex function applied to the derivation of neutral type neural networks play an important role in reducing the conservatism of the paper.
Finally, four numerical examples are given to show the effectiveness and the advantage of the proposed method.
American Psychological Association (APA)
Shi, Kaibo& Zhu, Hong& Zhong, Shouming& Zeng, Yong& Zhang, Yuping& Liang, Li. 2013. Less Conservative Stability Criteria for Neutral Type Neural Networks with Mixed Time-Varying Delays. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-472506
Modern Language Association (MLA)
Shi, Kaibo…[et al.]. Less Conservative Stability Criteria for Neutral Type Neural Networks with Mixed Time-Varying Delays. Journal of Applied Mathematics No. 2013 (2013), pp.1-18.
https://search.emarefa.net/detail/BIM-472506
American Medical Association (AMA)
Shi, Kaibo& Zhu, Hong& Zhong, Shouming& Zeng, Yong& Zhang, Yuping& Liang, Li. Less Conservative Stability Criteria for Neutral Type Neural Networks with Mixed Time-Varying Delays. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-472506
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472506