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Stability Analysis for Delayed Neural Networks: Reciprocally Convex Approach
Joint Authors
Yu, Hongjun
Yang, Xiaozhan
Wu, Chunfeng
Zeng, Qingshuang
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-17
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper is concerned with global stability analysis for a class of continuous neural networks with time-varying delay.
The lower and upper bounds of the delay and the upper bound of its first derivative are assumed to be known.
By introducing a novel Lyapunov-Krasovskii functional, some delay-dependent stability criteria are derived in terms of linear matrix inequality, which guarantee the considered neural networks to be globally stable.
When estimating the derivative of the LKF, instead of applying Jensen’s inequality directly, a substep is taken, and a slack variable is introduced by reciprocally convex combination approach, and as a result, conservatism reduction is proved to be more obvious than the available literature.
Numerical examples are given to demonstrate the effectiveness and merits of the proposed method.
American Psychological Association (APA)
Yu, Hongjun& Yang, Xiaozhan& Wu, Chunfeng& Zeng, Qingshuang. 2013. Stability Analysis for Delayed Neural Networks: Reciprocally Convex Approach. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1010181
Modern Language Association (MLA)
Yu, Hongjun…[et al.]. Stability Analysis for Delayed Neural Networks: Reciprocally Convex Approach. Mathematical Problems in Engineering No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-1010181
American Medical Association (AMA)
Yu, Hongjun& Yang, Xiaozhan& Wu, Chunfeng& Zeng, Qingshuang. Stability Analysis for Delayed Neural Networks: Reciprocally Convex Approach. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1010181
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010181